Question

Given `g(x) = -3x +1`, `f(x) = x^2 +7`, `h(x) = 12/x`, how do you find f(h(x))?

Answer 1

See a solution process below:

Explanation:

Because `h(x) = 12/x` we can substitute `color(red)(12/x)` for each occurrence of `color(red)(x)` in `f(x)`

`f(x) = color(red)(x)^2 + 7` becomes:

`f(h(x)) = color(red)((12/x))^2 + 7`

`f(h(x)) = color(red)(144/x^2) + 7`