214k views
5 votes
Verify if f(x) = 1/2x - 2 and G(x) = 2x + 4 are inverses.

Verify if f(x) = 1/2x - 2 and G(x) = 2x + 4 are inverses.-example-1

1 Answer

4 votes

Answer:

Yes, they are inverse functions

Explanation:

Hello!

Let's find the inverse of g(x) first.

Find the inverse

  • g(x) = 2x + 4
  • y = 2x + 4

Flip the x and y variables

  • x = 2y + 4

Solve for y

  • x - 4 = 2y
  • 0.5x - 2 = y

The inverse of g(x) is the same as the function f(x).

User Jason Liu
by
4.6k points