For each pair of functions f(x) and g(x) find the following.

Question

f(x) = x^6 + 2; g(x)= 1/2

a. f(g(x)) =

b. g(f(x))=

Answer 1

a) f(y)=y^6 + 2

If you impose y=g(x) you have f(g(x))=(g(x))^6 + 2, but g(x)=1/2 and thus, f(g(x))=(1/2)^6 +2

b) g(y)=1/2

If you impose y=f(x) you have g(f(x))=1/2

Best,

Davide