Question

If f(x) = -2 and g(x)=2x²+x-3, find (f+g)(x).

Answer 1

(f+g)(x) = 2x²+x-5

Explanation:

Given the functions f(x) and g(x) below:

`\begin{gathered} f(x)=-2 \\ g(x)=2x^2+x-3 \end{gathered}`

The composition, (f+g)(x) is obtained below:

`\begin{gathered} (f+g)(x)=f(x)+g(x) \\ =-2+(2x^2+x-3) \\ =2x^2+x-3-2 \\ \implies(f+g)(x)=2x^2+x-5 \end{gathered}`

The expression for (f+g)(x) is 2x²+x-5.