Welcome to Sarthaks eConnect A unique platform where students can interact with teachers/experts/students to get solutions to their queriesSolution For Find the domain and range of f(x) = 1x 2 So, Range will be all the values less than or equal to zero find the range and domain f(x)=1/x2 153 Views find the range and domain f(x)=1/x2 Answer To see more answers head over to College Study Guides Virtual Teaching Assistant John B Question Level Basic Karma Free Upload Date This 6 words question was answered by John B on StudySoup on The question contains
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Find the domain and range of the real function f(x) = x/1+x^2- f = { ("x , " 𝑥2/(1𝑥2)) x ∈ R } We find different values of 𝑥2/(1 𝑥2) for different values of x Domain Value will always be between 0 & 1 We note that Value of range y = 𝑥2/(1 𝑥2) is always positive Also, it is always between 0 and 1 Hence, Range is any positive integer between 0 and 1 with 0 included Thus, Range of f = 0, 1) Find the domain of each of the following functions given by f(x) = (x^3 x 3)/(x^2 1) asked in Sets, Relations and Functions by RamanKumar ( 499k points) sets
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The domain is x in (oo,1) uu(1,oo) The range is y in (oo, 2sqrt8 uu 2sqrt8, oo) As we cannot divide by 0, x!=1 The domain is x in (oo,1) uu(1,oo) Let y=(x^21)/(x1) So, y(x1)=x^21 x^2yx1y=0 In order for this equation to have solutions, the discriminant is Delta=0 y=(4(164*(4)))/(2) y=(4sqrt32)/2=(2sqrt8) y_1=2sqrt8 y_2=2sqrt8 Therefore the range is y in (oo, 2sqrt8 uu 2sqrt8, oo) graph{(x^21)/(x1 The domain of f (x) is Df(x) = R −{ − 1,1} To calculate the range, we need to calculate f −1(x) Let y = x2 1 − x2 We interchange y and x x = y2 1 −y2 Now, we calculate y in terms of x x(1 −y2) = y2 x − xy2 = y2 y2(x 1) = x Find the domain and range of a function f(x)=1/(1x^2) Forums Maths, Math, Homework, Do My Homework Email this Topic • Print this Page Swapnil Reply Mon 23 Jun, 14 1144 am Find the domain and range of a function f(x)=1/(1x^2) Stumble It!
Find the domain and range of f(x)=1/(x^21)^1/2 Find the domain and range of f(x)=x^2 Answer by Fombitz() (Show Source) You can put this solution on YOUR website! Find the domain and range of the function f(x) = (x^2 9)/(x 3) asked in Sets, Relations and Functions by RamanKumar (499k points) sets;• Tweet This • Bookmark on Delicious • Share on Facebook
Find the domain of the function \(f(x)=x^2−1\) Solution The input value, shown by the variable \(x\) in the equation, is squared and then the result is decreased by one Any real number may be squared and then be decreased by one, so there are no restrictions on the domain of this function The domain is the set of real numbers 1 Confirm that you have a quadratic function A quadratic function has the form ax 2 bx c f (x) = 2x 2 3x 4 The shape of a quadratic function on a graph is parabola pointing up or down There are different methods to calculating the range of a function depending on the type you are working with05, x is greater or equal to 5
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The range is the set of all valid values Find the domain and range of f (x)=x2/1x2 Domain of the function is where the function is defined The given function X R Let fx y y x1x2 x y1 x2 yx2 x y 0 This is quadratic equation with real roots Find the domain and range ƒx 1 x2 Maintain the following steps 1 Find the domain and range of function f(x)=x^2/1x^2 2 See answers wwwkriti wwwkriti Stepbystep explanation I hope this answer help u prakash1951 prakash1951 Answer domain is R and range is 0,1) HOPE IT HELPS YOU New questions in Math Sabse baat karne ko humbhi taiyaar hai koi baat toh kare mere seThe domain and range of the function f= ((1/1x2)) x ∈ R, x ≠ ± 1 are respectively Q The domain and range of the function $f=\left\{\left(\frac{1}{1x^{2}}\right) x \in R, x \ne \pm 1
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The graphs of f and f^−1 are reflections of each other across the line ____answer here_____ (d) State the domain and range of f and f^−1 (Enter; The domain is x in RR The range is y in (0,1 The denominator is =1x^2 AA x in RR, 1x^2>0 Therefore, The domain of f(x) is x in RR To determine the range, proceed as follows y=1/(1x^2) y(1x^2)=1 yyx^2=1 yx^2=1y x^2=(1y)/y x=sqrt((1y)/y) The range of f(x) is the domain of x ((1y)/y)>0 y in RR _^("*") 1y>=0 y Find the domain and the range of f(x)=2xsin x trevoncoleman58 trevoncoleman58 Mathematics High School answered Find the domain and the range of f(x)=2xsin x 1 See answer trevoncoleman58 is
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Stack Exchange network consists of 178 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers Visit Stack ExchangeAlgebra Find the Domain and Range F (x)=1/ (x^2) F (x) = 1 x2 F ( x) = 1 x 2 Set the denominator in 1 x2 1 x 2 equal to 0 0 to find where the expression is undefined x2 = 0 x 2 = 0 Solve for x x Tap for more steps Take the square root of both sides of the equation to eliminate the exponent on the left side x = ± √ 0 x = ± 0Figure 3 Domain and range of a function and its inverse When a function has no inverse function, it is possible to create a new function where that new function on a limited domain does have an inverse function For example, the inverse of f ( x) = x \displaystyle f\left (x\right)=\sqrt {x} f (x
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Sech(x) = 2 / (e x e x) (∞ , 0) U (0 , ∞) More Find domain and range of functions , Find the range of functions , find the domain of a function and mathematics tutorials and problems , Step by Step Calculator to Find Domain of a FunctionExperts are tested by Chegg as specialists in their subject area We review their content and use your feedback to keep the quality high 100% (1 rating)Click here👆to get an answer to your question ️ Find the domain and range of the function f (x) = x ^2/1 x ^2 Join / Login > 11th > Applied Mathematics > Functions > Introduction of functions
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The function f(x) = x 2 has a domain of all real numbers (x can be anything) and a range that is greater than or equal to zero Two ways in which the domain and range of a function can be written are interval notation and set notationThere are no restrictions on domain The domain is (,) Since the value of x is squared, f(x) will always be equal or greater than 0 Domain {xl x≠0} Range 1,1 or just 1 and 1, In f(x), all y values are either 1 or 1 The range contains no verticle y values greater than or less than 1 and 1 So maybe I should write this range as {yl y = 1 and 1} or 1U1?
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Find f1 (x) and identify the domain and range of f1 (x) 1) f(x)=x 5 2)f(x)=(1/2)x (x/7) Expert Answer Who are the experts? Ex 23, 2 Find the domain and range of the following real function f (x) = –x Here we are given a real function Hence, both domain and range should be real numbers Here, x can be any real number Here, f (x) will always be negative or zero All these are real values Here value of domain (x) can be any real number Hence, Domain = R (All real numbers) We note that that Range f (x) is 0 or negative numbers, Hence, Range = (−∞, 0 Ex 23, 2 Find the domain and rangeF (x) = x2 f ( x) = x 2 The domain of the expression is all real numbers except where the expression is undefined In this case, there is no real number that makes the expression undefined Interval Notation (−∞,∞) ( ∞, ∞) Set Builder Notation {xx ∈ R} { x x
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Step 1 Draw the graph Step 2 Find the possible values of x where f (x) is defined Here the x values start from 2 and ends in 2 Step 3 The possible values of x is the domain of the function ∴ \therefore ∴ the domain of the circle is { x ϵ R − 2 ≤ x ≤ 2 x\epsilon \mathbb {R}2\leq x\leq 2 xϵR −2 ≤ x ≤ 2 } =Arrow_forward Question View transcribed image text fullscreen Expand check_circleAlgebra Q&A Library 1 find the domain and range of f(x) = 2 cos3x 1 find the domain and range of f(x) = 2 cos3x close Start your trial now!
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How would you specify that the range of a function consists of 2 values, but no other values?Write the Domain and Range of the Function F ( X ) = X − 2 2 − X CBSE CBSE (Science) Class 11 Textbook Solutions Important Solutions 9 Question Bank Solutions 9938 Concept Notes & Videos 580 Syllabus Advertisement Remove all ads Write the Domain and Range of the Function F ( X ) = X − 2 2 − X Find the domain and range of the function f(x)= 1/sqrt(xx) Share with your friends Share 14
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F(x) = 1 x 2 Solution For any values values of x, the function will give defined values It will never become undefined So, domain is all real values that is R The range of x 2 lies between 0 to ∞ But we need find the range of 1 x 2 0 ≤ x 2 ≤ ∞ Multiplying by negative through out the inequality, we get ∞ ≤ x 2 ≤ 0 Add 1, through out the inequality, we get 1 ∞ ≤ x 2 ≤ 1 0 ∞ ≤ x 2 ≤ 1 Click here 👆 to get an answer to your question ️ The domain of the function is given Find the range f(x) = 2x 1 Domain {2, 0, 2, 4} Misc 5 Find the domain and the range of the real function f defined by f (x) = x – 1 Here we are given a real function Hence, both domain and range should be real numbers Here, x can be any real number Here, f (x) will always be positive or zero Here value of domain (x) can be any real number Hence, Domain = R (All real numbers) We note that that range f (x) is 0 or positive numbers, So range cannot be negative Hence, Range
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So, the domain of the function f(x) is (∞,∞) Now to find the range, say f(x)= y, which gives x²9=y² or, x= ±√(y²9) Since x is a real number, y²9 must be positive or, y²>9 which gives y ∈ (3,∞),since y>0, which is the required range of f(x)Y = f (x) = (1 − x 2) 1 For range, y = (1 − x 2) 1 ⇒ y − y x 2 = 1 ⇒ y x 2 = y − 1 ⇒ x 2 = y y − 1 ⇒ x = ± y y − 1 ∴ y = 0 The term under the root has to be positive casei caseiiFor the reciprocal squared function latexf\left(x\right)=\frac{1}{{x}^{2}}/latex, we cannot divide by latex0/latex, so we must exclude latex0/latex from the domain There is also no latexx/latex that can give an output of 0, so 0 is excluded from the range as well Note that the output of this function is always positive due to the square in the denominator, so the range
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Answer The domain is all real numbers, and the range is all real numbers f(x) such that f(x) ≤ 4 You can check that the vertex is indeed at (1, 4) Since a quadratic function has two mirror image halves, the line of reflection has to be in the middle of two points with the same y valueFirst week only $499!F (x)=1/x2 Found 2 solutions by jim_thompson5910, MathLover1 Answer by jim_thompson5910 () ( Show Source ) You can put this solution on YOUR website!
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Solution for 1 find the domain and range of f(x) 2 cos3x To ask Unlimited Maths doubts download Doubtnut from https//googl/9WZjCW Find domain and range of `f(x)=x/(1x^2)` This is the Solution of Question From RD SHARMA book of CLASS 11 CHAPTER RELATIONS AND FUNCTIONS This Question is also available in R S AGGARWAL book of CLAS
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Answer and Explanation 1 Given f(x) = 1 x f ( x) = 1 x Domain Since the function is a fraction, the value of the variable are all real numbers except 0 0 since it will result to an undefined ️Given real function is f(x) = x/1x^2 ️1 x^2 ≠ 0 ️x^2 ≠ 1 ️Domain x ∈ R ️Let f(x) = y ️y = x/1x^2 ️⇒ x = y(1 x^2) ️⇒ yx^2 – x y = 0 ️This is quadratic equation with real roots ️(1)^2 – 4(y)(y) ≥ 0 ️1 – 4y^2 ≥ 0 ️⇒ 4y^2 ≤ 1 ️⇒ y^2 ≤1/4Question Given the functions f(x) = square root x, and g(x) = (x 5) / (2x 1), find the domain and range of fg(x) composite function Answer domain of fg(x) composite function x is an element of R, x <
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Arithmetic Mean Geometric Mean Quadratic Mean Median Mode Order Minimum Maximum Probability MidRange Range Standard Deviation Variance Lower Quartile Upper Quartile Interquartile Range Midhinge Standard Normal Distribution f(x)=\frac{1}{x^2} domain\y=\frac{x}{x^26x8} domain\f(x)=\sqrt{x3} domain\f(x)=\cos(2x5) domain\f(xFor example, a function f (x) f ( x) that is defined for real values x x in R R has domain R R, and is sometimes said to be "a function over the reals" The set of values to which D D is sent by the function is called the range Informally, if a function is defined on some set, then we call that set the domainQuestion Consider the function f(x) = x^2 − 1, x ≥ 1 (a) Find the inverse function of f f ^−1(x) = (b) Graph f and f ^−1 on the same set of coordinate axes (c) Describe the
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Example 1 Find the domain and range of the function y = 3 x 2 Graph the function on a coordinate plane The graph is nothing but the graph y = 3 x translated 2 units to the left The function is defined for all real numbers So, the domain of the function is set of real numbersWhat is the domain and range of f(x) = (2x1) / (2x1)?Start with the given function Set the denominator equal to zero Remember, dividing by 0 is undefined So if we find values of x that make the denominator zero, then we must exclude them from the domain
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Lai Johnny, M Phil Mathematics Major, The Chinese University of Hong Kong (1985) Answered 1 year ago Author has 34K answers and 35K answer views 25K views View upvotes 9 4 Dhairya Varshney, B Tech from Delhi Technological University (23)
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