Question

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

Answer 1

`h(g(x)) = x^4-14x^2+49`

Explanation:

If `h(x) = (x-7)^2`
then
`h(g(x)) = (g(x)-7)^2`

and if `g(x)=x^2`
then
`h(g(x)) = (x^2-7)^2`

`color(white)("XXXX")=x^4-14x^2+49`