Question

If `f(x) = 2x-3` and `g(x) = x^2-7`, what is `g(f(x))`?

Answer 1

`g(f(x)) = 4x^2-8x -3`

Explanation:

Start with:

`g(x) = x^2-7`

Substitute `f(x) = 2x-2` into `g(x)`:

`g(f(x)) = (2x-2)^2-7`

`g(f(x)) = 4x^2-8x + 4 -7`

`g(f(x)) = 4x^2-8x -3`