For the function 𝑓(𝑥) = 𝑥^2 − 4𝑥, find each of the following:

Question

For the function 𝑓(𝑥) = 𝑥^2 − 4𝑥, find each of the following:

a) 𝑓(4) b) 𝑓(3/2) c) 𝑓(𝑞) d) 𝑓(𝑡+4)

Please show works

Answer 1

f(4) = 16-16 = 0

f(3/2) = 9/4 - 4(3/2) = 9/4 - 6 = 9/4 - 24/4 = -15/4

f(q) = q^2 - 4a

f(t+4) = (t+4)^2 - 4(t+4) = (t+4) [ (t+4)-4] = (t+4)t = t(t+4) = t^2 + 4t