Question

Suppose f(x) = – 22 – 4x + 2 and g(x) =
42? +52 +5.
(f +9)(2) =

Answer 1

`(f + g)(2) = 21`

Explanation:

`f(x) = -x^2 - 4x +2`

`g(x) = 4x^2 + 5x + 5`

Required

`(f + g)(2)`

This is calculated as:

`(f + g)(2) = f(2) + g(2)`

Where:

`f(2) = -2^2 - 4*2 +2 = -10`

`g(2) = 4*2^2 + 5*2 + 5 = 31`

So:

`(f + g)(2) = f(2) + g(2)`

`(f + g)(2) = -10 + 31`

`(f + g)(2) = 21`