Question

If f(x) =-x^2+3x+5 and g(x)=x^2+2x, which graph shows the graph of (f+g)(x)?​

Answer 1

Explanation:

see graph below

Answer 2

For this case we have the following functions:

`f (x) = - x ^ 2 + 3x + 5\\g (x) = x ^ 2 + 2x`

We must find (f + g) (x), by definition we have to:

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

So:

`(f + g) (x) = - x ^ 2 + 3x + 5 + (x ^ 2 + 2x)\\(f + g) (x) = - x ^ 2 + 3x + 5 + x ^ 2 + 2x\\(f + g) (x) = 5x + 5`

ANswer:

See attached image