Question

How do you determine `f(g(x))` and `g(g(x))`, given `f(x)=absx` and `g(x)=x^2`?

Answer 1

`f(g(x))=x^2` and and `g(g(x))=x^4`

Explanation:

As `f(x)=|x|` and `g(x)=x^2`

`f(g(x))=|g(x)|=|x^2|=x^2`

and `g(g(x))=(g(x))^2=(x^2)^2=x^4`