6.) Suppose f and g are inverse functions. Consider the table below. X f(x) f'(x) -5 12 -4 -1 10 -1 2 0 9 -2 Write an equation for the line tangent to g(x) at x = 4 1 4 -2 2 0 -1 4 -2 -5 5 -7 0

Q: Find the inverse function of f. f(x) = 2x + 7 f-"(x) =

A: Given: fx=2x+7 . f-1x can be calculated as follows, y=2x+7Interchange the variables x and…

Q: 2. Graph of y = f(x): 3 -2 -1- y=f(x) 1 2 3 6 7 -2 -3 4,

A: Consider the given graph: a) Since, the graph is not smooth and there are corners at x = 1, 4.…

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: 15) Given f is a one-to-one function with values f(-4) = 7 and f(9) = -15. Find the corresponding…

A: Solution: The objective is to find the corresponding inverse functions

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: For the function f(z) 2(x – 5) + 7, which of these equations describes f '(r), the inverse of the…

A: We wil use concept of inverse function to find the answer.

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: Given the function f (x) = 1/3 x2 - 6x + 5 determine the inverse relation

A:

Q: The function f is defined by f (x) = -x³ + 3x² – 3x and f(2) =-2. If g is the inverse function of f,…

A:

Q: x+8 is one-to-one. For the function, X-4 The function f(x) = 1 a. Find an equation for f'(x), the…

A: Given the rational function

Q: 3. Let f(x) = x¹/3 and g(x) = 2x² + 5x – 1. A. Write out the equations for all four functions: ƒ(x),…

A:

Q: Find the inverse function of f(x) = 19 + x. f-(x) =

A: We have to find the inverse function from the given function

Q: Function f(x)=√x-4 F¹(x) = x² + 4, x 20 Find the slope of the graph of f at the point (5, 1). Point…

A: