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

Question

i'm having trouble solving this question, can someone please help me

Answer 1

Here you go!

So, to begin, you always want to break the problem down.

f(x)=x2-2

g(x)=2x2+x-3

find (f+g)(x)

We have two functions and we are asked to combine them in an "addition" manner. We are essentially adding both functions together. -->

(x² -2) + (2x² +x -3)

Now we combine like terms...

(x² + 2x²) + (x) + (-2-3)

Now that they are all sorted, we can simplify:

3x² + x - 5