Write (g ∘ h)(x) as an expression in terms of X

Question

g(x)=3−x2

h(x)=4−3x

(g ∘ h)(x) = Answer

 

Answer 1

(g°h)(x)=g(h(x))

Subsitute 4-3x for h(x):

g(h(x))=g(4-3x)

Next, substitute 3-x for x:

g(h(x))=4-3(3-x)

Use the distributive property:

g(h(x))=4-9+3x

Combine like terms:

g(h(x))=-5+3x

You can switch the order of the terms if you like and use the original notation:

(g°h)(x)=3x-5