Given 𝑓(𝑥)=𝑥^2 −4 and 𝑔(𝑥)=2𝑥+3

Question

Given 𝑓(𝑥)=𝑥^2 −4 and 𝑔(𝑥)=2𝑥+3, find each of the following:

a.) (f+g)(3)

b.) (f-g)(x)

c.) (𝑓∙𝑔)(𝑥)

d.) (f/g)(-1)

e.) (𝑓∘𝑔)(𝑥)

Hello! I need help solving a to e. Thank you!

Answer 1

(a) Add g(x) to f(x) substitute 3 for x

(b) Subtract g(x) from f(x) substitute 3 for x

(c) Multiply g(x) by f(x) substitute 3 for x

(d) Divide fIx) by g(x) substitute 3 fo x

(e) f(g(x)) = (2x + 3)² - 4