Question

What is the value of (f +2g)(4)

f(x)= (x-2)²; g(x)= x+3

Answer 1

18.

Explanation:

g(x) = x + 3 so 2g(x) = 2x + 6

(f + 2g)(x) = (x - 2)^2 + 2x + 6

therefore

(f + 2)(4) = (4 - 2)^2 + 2(4) + 6

= 2^2 + 8 + 6= 18.