# Given f(x) = 5x^2 - 4x and g(x) = -3x^2 - 8 how do you find (f + g)(2)?

Feb 13, 2016
• 8

#### Explanation:

begin by adding f(x) and g(x) together.

$f \left(x\right) + g \left(x\right) = 5 {x}^{2} - 4 x - 3 {x}^{2} - 8 = 2 {x}^{2} - 4 x - 8$

now (f+g)(2) means evaluating the sum when x = 2

$2 {x}^{2} - 4 x - 8 = 2 {\left(2\right)}^{2} - 4 \left(2\right) - 8 = 8 - 8 - 8 = - 8$