Finite Math Examples

$f (x) = x + 4$ , $g (x) = x^{2} + 2 x - 8$ , $(f + g) (x)$

Step 1

Evaluate $f + g$ .

Tap for more steps...

Step 1.1

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

$x + 4 + x^{2} + 2 x - 8$

Step 1.2

Remove parentheses.

$x + 4 + x^{2} + 2 x - 8$

Step 1.3

Add $x$ and $2 x$ .

$3 x + 4 + x^{2} - 8$

Step 1.4

Simplify the expression.

Tap for more steps...

Step 1.4.1

Subtract $8$ from $4$ .

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

Step 1.4.2

Reorder $3 x$ and $x^{2}$ .

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

Step 2

Evaluate $f + g$ at $x$ .

${(x)}^{2} + 3 (x) - 4$

Step 3

Simplify ${(x)}^{2} + 3 (x) - 4$ .

Tap for more steps...

Step 3.1

Remove parentheses.

${(x)}^{2} + 3 (x) - 4$

Step 3.2

Multiply $3$ by $x$ .

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