Given that f(x)=x−1

and g(x)=x2+3x−6
, find (f+g)(2)
.(1 point)
(f+g)(2)=

1 answer

To find \((f + g)(2)\), we first need to calculate \(f(2)\) and \(g(2)\).

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

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

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

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