Question

if f(x)=square root x and g(x)=x^3-9, find the compositions f o g, g o f, f o f, and g o g.

Answer 1

f o g = sqrt(x^3 - 9)
g o f = (sqrtx)^3 - 9
f o f =  sqrt (sqrt x)   or x^(1/4)
g o g =  (x^3 - 9)^3 - 9