Find f ◦ g ◦ h when:

Question

f(x) = 1/x

 

g(x) = x²

 

 

h(x) = x³ + 2

Answer 1

h(x) = x³+2

 

g(h(x)) = g(x³+2) = (x³+2)²

 

f(g(h(x)) = f((x³+2)²)) = 1/(x³+2)²

Answer 2

g o h(x) = (x³ + 2)²

f o g o h(x) = 1 / (x³ + 2)²