Question

Find each new function in simplest form f+gWhich of the four options is it?

Answer 1

We have to add the functions

`\begin{gathered} f(x)=x^2+4x-5 \\ g(x)=7x^2-6x \end{gathered}`

To do this we have to remember the definition of addition of functions, that is

`(f+g)(x)=f(x)+g(x)`

Then, in our case we have

`\begin{gathered} (f+g)(x)=(x^2+4x-5)+(7x^2-6x) \\ =x^2+4x-5+7x^2-6x \\ =8x^2-2x-5 \end{gathered}`

Then (f+g) is

`8x^2-2x-5`