The function f(x) = is one-to-one. (a) Find its inverse and check your answer. (b) Find the domain and the range of f and f.

Q: 3. If f(x) = x + 1, find f(3) and f(- 3). Is f a one-to-one function?

A: The given function is fx=x2+1

Q: The one-to-one function f is defined below. rx)= (x- 1)* Find (x), where is the inverse of f.

A:

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: Illustrate that the functions are inverse functions of each other by sketching their graphs on the…

A: We graph the functions using a graphing calculator.

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: Consider the functions :  f(x)=√x and g(x)=x-1 Solve for- (f°g) (x)

A: Given:

Q: If you are given a graph of f, how do you find a graph of the inverse function f -1 ?

A: To graph, the inverse function f-1, use the following steps. Step 1) Mark some points on the graph…

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

A:

Q: The function f(x) = (x +4)% is one-to-one. Find an equation for f'x), the inverse function.

A: Steps for finding the inverse of a function f(x) : Check if the function is one- one. Replace f(x)…

Q: How do you determine if a function f (x) has an inverse on an interval (a, b)?

A:

Q: What is the inverse function of f(x) = x- 2 2x f-'(z) = - (z) = I- 2 f (2) = 2x f (x) = r - 1

A: Replace f(x)by x and x by y than solve for y.

Q: Illustrate that the functions are inverse functions of each other by sketching their graphs on the…

A: Sketch the graph of functions fx=ex-1   and  gx=lnx+1 on the same set of coordinate axes as shown…

Q: b. What would be another acceptable way to restrict the domain of the inverse function?

A: We have, y = sinx  So, x = sin-1(y)

Q: Find the domain and range of the function f(x) = −∣x + 1∣

A:

Q: Find an equation for f', the inverse fur 6. f(x) = (x- 1)3

A:

Q: f(x)- 2.3*- 3

A:

Q: The function f(x)= (x+6)° is one-to-one. -1 Find an equation for f '(x), the inverse function.

A: We can find the inverse function as below.

Q: Solve for the inverse fonction of f(x)= domain and range of both. f and f . -1.

A:

Q: If f-1 denotes the inverse of a function f, then the graphs off and f-1 are symmetric with respect…

A: We know that if  f-1 is inverse of a function f then: ff-1x=x and f-1fx=x The graph of f and f-1 are…

Q: Find the inverse of f(x) = and determine its domain and range.

A:

Q: If you are given a formula for f, how do you find a formula for f -1 ? Find the inverse of the…

A: Suppose, if formula of the function fx is given. Then, to find formula for its inverse function…

Q: A rectangle has a length of 16 inches and a width of 9 inches. If the length is increased by x…

A:

Q: find the inverse function of f  f(x)= 2x-1/x-7 f^-1(x)=

A:

Q: Find a formula for a function that f(x) =

A:

Q: The function f(x) = x + 3 is one-to-one. Find an equation forf1x), the inverse function.

A: Let  y=x3+3 Change the subject of the equation to x x3=y-3x=y-33

Q: The function f(x) = x - 3 / x - 4 , x ≠ 4, is one-to-one. Find its inverse function.

A: Given: fx=x-3x-4 , x≠4 is one to one function.

Q: Use the graph of the function to sketch the graph of its inverse function y = f −1(x).

A: Graph of the function is given, we have to sketch the inverse function.

Q: The function f(x) = 3x + 1 is one-to-one. Find an equation for f'(x), the inverse function.

A: Given, f(x)=3x+1

Q: The function f(x) = 8x3 + 1 is all one-to-one. For the function,a. Find an equation for f -1(x), the…

A: Given: fx=8x3+1 To determine: a.f-1(x) b. Verify ff-1x=x & f-1fx=x

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

A:

Q: The given function f(x) = (2x -3)/(x+1) is all one-to-one. For this function, a. Find an equation…

A: Given, fx=2x-3x+1

Q: The function f(x) =x°-8 is one-to-one. Find an equation for f(x), the inverse function. - 1

A: Given f(x) = (x3 - 8) = y. f(x) = y. Now to find the inverse Replace x with y and y with x. (y3- 8)…

Q: Find the inverse function of f(x) = (1/3)x + 4 and specify its domain.

A: The given function is fx=13x+4. Since the above function is defined for all real values of x, the…

Q: Find the domain of the function 1 f (x) = - 1

A:

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 out if the function has an inverse. If so, find (f^-1)'(1):

A: (a) fx=lnx (b) fx=ex+x3+5x To Find: If the function has an inverse. If so we have to find f-1'1.

Q: The function f is one-to-one. Find its inverse. f(x) = (x + 2)° – 8

A: Given one-to-one function is         f(x)=x+23-8

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

A:

Q: Find the inverse function f-1 of the function f f(x) = 8 tan(10x - 3)

A:

Q: Find the inverse function of f. f(x): = -64, X>0

A: To find the inverse of a function f(x) : Rewrite f(x) as y Switch x and y  Solve for y

Q: Illustrate that the functions are inverse functions of each other by sketching their graphs on the…

A: Given, f(x)=ex-1,   gx=lnx+1

Q: 1 Find an equation for f '), the inverse function.

A:

Q: Find the domain and range of the function.

A:

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

A: Given that fx has an inverse function f-1x. We have to check and explain if either the graph of f or…

Q: The graph of a constant f(x)= c for any constant is c is a horizontal line through the point (0,C)…

A: The graph of a constant function  f(x)= c for any constant is c is a horizontal line through the…

Q: 3-f(x)=

A: Explanation of the answer is as follows

Q: The one-to-one function f is defined below. f (x)= V10-x + 3 -1 Find f'(x), where f' is the inverse…

A: Use concept to find inverse function

Q: Use the graph of the function to sketch the graph of its inverse function y = f-1(x). У 5- 3- 2- -5…

A: To find the graph of the inverse function we have to reflect the given graph about the y=x line