Question

Given the functions `f(x)=x-7` , `g(x)=x^2` and `h(x)=(x-7)^2` how do you find g(f(x))?

Answer 1

`g(f(x))=h(x)`

Explanation:

To find a composition `g(f(x))` for every occurence of `x` in `g(x)` you write the formula of `f(x)`, so :

`g(color(red)(f(x)))=(color(red)(x-7))^2=h(x)`

I marked the inserted `f(x)` with red color.