find three functions f, g, h that satisfy: f(g(h(x))) = root 1/x^2+2

Answer 1

Hello Elaine.

we have f(g(h(x))) = √1/x^2 +2;

first we have square root function so f(x) = √x.

then, we have rational function inside of root so g(x) = 1/x

last, we have binomial in the denominator so h(x) = x^2 +2

hope that helps