Precalculus Examples

$f (x) = 4^{x} - 8$ and $g (x) = 5 x + 6$ ; find $(f + g) (x)$

Step 1

Evaluate $f + g$ .

Tap for more steps...

Step 1.1

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

$4^{x} - 8 + 5 x + 6$

Step 1.2

Remove parentheses.

$4^{x} - 8 + 5 x + 6$

Step 1.3

Add $- 8$ and $6$ .

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

Step 1.4

Reorder $4^{x}$ and $5 x$ .

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

Step 2

Evaluate $f + g$ at $x$ .

$5 (x) + 4^{x} - 2$

Step 3

Simplify $5 (x) + 4^{x} - 2$ .

Tap for more steps...

Step 3.1

Remove parentheses.

$5 (x) + 4^{x} - 2$

Step 3.2

Multiply $5$ by $x$ .

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