1. Consider the function f(x) = 2x - 4 (a) Find f-¹(x). (b) Use the compositions of f and f-¹ to verify that these are inverse functions. (c) Sketch the two functions and the line y = x on the same set of axes. Label each line with its equation.

Q: Show that the function y = f (x) =-2x +4 is one-to-one and find its inverse function.

A: Here function  fx=-2x+4

Q: Find the inverse of the function f (x)= \x-2.

A: To find the inverse of the function,  Let y=f(x) Therefore, x=f-1(y) Substitute y in place of f(x)…

Q: Find the inverse of the function f(x) f(2) =

A:

Q: Determine whether the equation defines yas a function of x.Explain your reasoning: y = 3x -1 / x+2

A: Given equation is : y=3x-1x+2 Determine whether the equation defines y as a function of x.

Q: f(x)=/7x* + J5x° = Jx

A:

Q: If the point in function f(x) has the coordinates (-2, 4), then what would be the coordinate for…

A:

Q: What does it mean for a function to be defined implicitly by an equation?

A: An implicitly defined function is a function that is presented as the solution of some equation or…

Q: Original Function Rewrite Differentiate 1 5x4 y = == Simplify

A: Solution is given below:

Q: Determine whether the equation or table defines y as a function of x y + 1/y = x + 1/x

A: