Solve the Function Operation f(x)=4x-5 , g(x)=2^2-3 (f+g)(2)

$f (x) = 4 x - 5$ , $g (x) = 2^{2} - 3$ $(f + g) (2)$

Step 1

Evaluate $f + g$ .

Replace the function designators in $f + g$ with the actual functions.

$4 x - 5 + 2^{2} - 3$

Remove parentheses.

$4 x - 5 + 2^{2} - 3$

Raise $2$ to the power of $2$ .

$4 x - 5 + 4 - 3$

Add $- 5$ and $4$ .

$4 x - 1 - 3$

Subtract $3$ from $- 1$ .

$4 x - 4$

Step 2

Evaluate $f + g$ at $2$ .

$4 (2) - 4$

Step 3

Simplify $4 (2) - 4$ .

Remove parentheses.

$4 (2) - 4$

Multiply $4$ by $2$ .

$8 - 4$

Subtract $4$ from $8$ .

$4$