Function Notation Grade 11

Question

Given 𝑓 (x) = -3x +8 and g (x) = -2x^2 + 3 determine:

1. 2g (-1) - 𝑓(4)
2. g(5p)

Give detailed steps!

Answer 1

g(x) = - 2x^2 +3

g(-1) = -2(-1)^2 + 3 = -2 +3 = 1

f(x) = -3x^2 + 8

f(4) = -3(4)^2 + 8 = -48+8 = -40

2g(-1) - f(4) = 2 +40 = 42

g(5p) = -2(5p)^2 +3 = -50p^2 +3