Question

G(x)= x^2 + 2hx) = 3x - 2Find (g+ h)(-3)

Answer 1

Given the following functions;

f(x) = x^2 + 2

g(x) = 3x - 2

(g+h)(x) = g(x)+h(x)

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

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

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

To get (g+h) (-3), we will subtitute x = -3 into the resulting function as shown;

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

(g+h) (-3) = 9 - 9

(g+h) (-3) = 0

Hence the value of the expression (g+h) (-3) is 0