Question

Given that f(x) = x^2– 5x– 36 and g(x) = x + 4, find (f +9)(x) and express

Answer 1

Answer:

$\longmapsto \: f(x) = {x}^{2} - 5x - 36 \\ \longmapsto \: g(x) = x + 4 \\ \longmapsto(f + g)(x) \\ = f(x) + g(x) \\ = ( {x}^{2} - 5x - 36) + (x + 4) \\ = {x}^{2} - 5x - 36 + x + 4 \\ = \boxed{ {x}^{2} - 4x - 32}$

• x²-4x-32 (in standard form) is the right answer.