Question

Given that f(x)=x−1
and g(x)=x2+3x−6
, find (f+g)(2)
.(1 point)
(f+g)(2)=
Remaining Attempts : 3

Answer 1

To find \((f + g)(2)\), we first need to compute \(f(2)\) and \(g(2)\), and then add those results together.

Given:
- \(f(x) = x - 1\)
- \(g(x) = x^2 + 3x - 6\)

1. Calculate \(f(2)\):
\[
f(2) = 2 - 1 = 1
\]

2. Calculate \(g(2)\):
\[
g(2) = (2)^2 + 3(2) - 6
\]
\[
g(2) = 4 + 6 - 6 = 4
\]

3. Now, add \(f(2)\) and \(g(2)\):
\[
(f + g)(2) = f(2) + g(2) = 1 + 4 = 5
\]

So, \((f + g)(2) = 5\).