Question

Show your work to prove that the inverse of f(x) is g(x).
f(x)= x+10
-------
2
g(x)=6x-5

Answer 1

Answer: The inverse of f(x) is not g(x).

Step-by-step explanation:

Steps taken:

1. Swap x and y variables
2. Solve for y
3. Prove that the equations of f'(x) and g(x) are identical.

1.

$f(x) = x + 10\\y = x + 10\\x = y + 10$

2.

$x = y + 10\\y = x - 10$

The inverse of f(x) is x - 10, which does not match with g(x).