Question

1) f(x) = 2x² - 4 g(x) = 2x - 5 Find (f + g)(x)

Answer 1

`(f+g)(x)​=2x^2+2x-9`

Explanation:

We have the following functions:

`\begin{gathered} f\mleft(x\mright)=2x^(2)-4 \\ g\mleft(x\mright)=2x-5 \end{gathered}`

Now we calculate the sum of both functions like this:

`\begin{gathered} \mleft(f+g\mright)\mleft(x\mright)​=f(x)+g(x)=2x^2-4+2x-5 \\ (f+g)(x)​=2x^2+2x-9 \end{gathered}`