Answer:
(f + g)(x) = 2x² + x - 5
Step-by-step explanation:
Given
[tex]f(x) = -2[/tex]
[tex]g\left(x\right)\:=\:2x^2+\:x-3[/tex]
To determine
(f + 9)(x) = ?
Using the formula
(f + g)(x) = f(x) + g(x)
substituting f(x) = -2 and g(x) = 2x² + x - 3
= -2 + 2x² + x - 3
= 2x² + x - 5
Therefore, we conclude that:
(f + g)(x) = 2x² + x - 5