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) and substitute 3 for x, reduce

b. Subtrace g(x) from f(x) and reduce (if possible)

c. Multiply f(x) by g(x) and reduce (if possible)

d. Divide f(x) by g(x) and reduce (if possible)

e. f o g (x) = (2x + 3)² - 4, reduce