Verify that f and g are inverse functions algebraically and graphically.. f(x)= 4x, g(x) - (a) algebraically fg(x)) - X g(f(x)) g (b) graphically 10 10 y= x y=x 5- -10 10 -10 10

Q: The function f(x) = 3x - 1 is one-to-one. For the function,a. Find an equation for f -1(x), the…

A: We write f(x)=y, then switch x and y, then solve for y

Q: a. Find an equation for f(x), the inverse function. b. Verify that your equation is correct by…

A: We have function f(x) that is one to one,  We have to find f-1(x)  Step 1- Put f(x) =y  Step 2-…

Q: The function f(x) =2/x is one-to-one. For the function,a. Find an equation for f -1(x), the inverse…

A: Given function

Q: The function f(x) = x° - 2 is one-to-one. a. Find an equation for f1, the inverse function. b.…

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Q: Show that f and g are inverse functions (a) analytically and (b) graphically            f(x) = 16 −…

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Q: The function f(x) = 2x is one-to-one. For the function,a. Find an equation for f -1(x), the inverse…

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Q: Show that f and g are inverse functions (a) analytically and (b) graphically

A: Definition of the inverse functions helps to verify the inverse functions. Function f and g are…

Q: 2.x+3 (1) Find the inverse of the function f(x)= x-4

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Q: Consider the function. f(x)=x²-1 (a) Find the Inverse function of f. f-²(x) =

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Q: Find the inverse of the function on the given domain. f(x) = (x-5)^2, [5,∞) f-1(x) = =

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Q: x+3 Find the inverse of f(x)=, 2х —1" -

A: Step to Find the Inverse of a Function STEP 1: Stick a "y" in for the "f(x)" guy: STEP 2: Switch…

Q: 4. a) If you were given a function in the form y = g(x), explain how you would determine the…

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Q: х — 5 is f-1(x) = x +2 The inverse of the function f(x) (2а — 5) (1+ x) (2х — 5) (5 – x) (2а + 5)…

A: Follow the steps.

Q: f(x) = 5* – 4 is a 1-1 function. Determine its inverse function f¯'(x).

A: Given: f(x)=5x-4

Q: 4. Find the inverse function, fl. 5. Find the inverse function, f. 9х f (x) =- f (x)=-6+In xr х-17

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Q: The function f(x) = x3 + 2 is one-to-one. For the function,a. Find an equation for f -1(x), the…

A: given: the function f(x)=x3+2 is one-to-one function  as we know that if we have a function y=f(x)…

Q: Show that f and g are inverse functions (a) analytically and (b) graphically         f(x) = √(x −…

A: Given that: The functions f(x) = ( x - 4)   , g (x) = x2 + 4     , x ≥0.

Q: Show that f and g are inverse functions (a) analytically and (b) graphically               f(x) = 5x…

A: Given:fx=5x+1gx=x-15Inverse function: Two function fx and gx are inverses of each other if…

Q: 1)g(x)=x-2/5 2) h (x)=5/x +2 Which of the functions is the inverse function of f(x)=x-4/7? 3)…

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Q: Find the inverse of the function on the given domain. f(x)= (x-9)^2, [9, infinity) f^-1(x)=

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Q: The function f(x) = x° - 2 is one-to-one. a. Find an equation for f1, the inverse function. b.…

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Q: Consider the function. f(x) = x3 – 1 (a) Find the inverse function of f. f-1(x) =

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Q: 5х +1 f(2) = бх — 5 Show algebraically that the function is its own inverse.

A: Find the inverse of given function

Q: T(x) = 6(x- 3) + 25, where x> 3 E(x) = 25, where 0sxs3 Explain how to find the inverse of T(x) and…

A: Given T(x)=6(x-3)+25,    x>3E(x)=25,  0≤x≤3

Q: he function f is defined by f (x) = 2x° + 3x - 2. If g is the inverse function of f and g(-7) = -1,…

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Q: Show that f and g are inverse functions (a) analytically and (b) graphically              f(x) = 3 −…

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Q: x² +1 Find the inverse function f (x) for f(x) = 2 a) x-1 b) 2x +1 2х -1 d) x+1

A: The inverse function can be calculated by substituting x by y and y by x. Then solve for y. The…

Q: Hly that F and g are Inverse functions algebralcally and graphically f(x) = 7x + 1, g(x) 7.

A: f(x) = 7x + 1     and     g(x) = x-17 (a).  algebraically :…

Q: Two functions f(x) and g (x) are inverse function if (fog)(x)=x

A: The statement is not correct. It has a missing part.

Q: - Find the inverse function for f(x)=X-7. Determine the domain and range of x+5 both functions.

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Q: 8. The function f(x) = 4x + 3 is one-to-one. a. Find an equation for f, the inverse function. b.…

A: Given f(x)= 4x+3

Q: a. Find the inverse of ƒ(x) = -x + 1. Graph the line y = -x + 1 together with the line y = x. At…

A: PART a.The given function is y = ƒ(x) = -x+1To find the inverse of this function we interchange x…

Q: The function is one to one. Find the inverse function f-1. f(x)= (2x-3)/(x+4)

A: Refer to the question. We have to find the inverse of the function f(x)= (2x-3)/(x+4).

Q: 4х + 5 Given: f(x) бх — 4 Find the inverse function, f-'(x).

A: Explanation of the answer is as follows

Q: Which pair of functions are inverse functions? f(x) = 3x + 5 and 8(x) 3D — 3х — 5 = - -x + 5 f(x) =…

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Q: 1) Using g(x) = 3x - 1, f(x) = 2x + 6 and find (g o f)(x) 2) Find the inverse function of h(x) = 2x…

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Q: The function f(x) =(x + 4)/(x - 2) is one-to-one. For thefunction,a. Find an equation for f -1(x),…

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Q: Analytically show that the functions are inverse functions. f(x) = e* – 2 g(x) = In(x + 2) (g(x))…

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Q: Show that f and g are inverse functions (a) analytically and (b) graphically         f(x) = 1/x,…

A: Given functions are fx=1x and gx=1x. To show that f and g are inverse to each other analytically, we…

Q: The function f(x) = x + 5 is one-to-one. For the function,a. Find an equation for f -1(x), the…

A: The given function is: f(x) = x + 5 Since the given function is one-one, therefore its inverse is…

Q: Find the inverse function. f (x) = x +6 O f-1 (x) = e – 8 O f-1 (æ) = - 8 O f-1 (x) = -x – 8 o f'…

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Q: 1 If f(x) has an inverse function f-¹(x), could either the graph of for the graph of f-¹ be…

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Q: f(x) = 3 ( x – 5 ) 4 + 121 Find its inverse function f-1

A: Given function is f(x)=3(x-5)4+121  For calculating inverse of a function y=f(x), we swap x and y,…

Q: 5x+7 What is the inverse function of f(x) X- 3 7-3х f-1(x) = - х-5 7x-5 B B f(x) : 3+ x 7+3x f-l(x)…

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Q: Find the inverse of the function on the given domain.   f(x)=(x−8)2, [8,∞)     f^-1(x)=

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Q: fy that f and g are inverse functions f(x) X+4 g(x) = 3x + 4 %3D X-1

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Q: 5 )Determine whether these functions are inverse functions: f(x) = 2x+8 1 g(x) = -x - 4

A: Given that, the function is                           f(x) = 2x+8          Let    y=f(x) = 2x+8…

Q: The given function f(x) = (x + 4) /(x - 2) is all one-to-one. For this function, a. Find an equation…

A: Given function - f(x) = x+4x-2For finding the inverse of a function we solve for x, then replace x…