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

Question

asked Jan 19, 2020 185k views

2 Answers

Sergey Bolgov · Answer 1 · 2020-01-24T03:32:25+0000

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