Precalculus Examples

$f (x) = - 5^{x} - 4$ and $g (x) = - 3 x - 2$ ; 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.

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

Step 1.2

Remove parentheses.

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

Step 1.3

Subtract $2$ from $- 4$ .

$- 5^{x} - 3 x - 6$

Step 1.4

Reorder $- 5^{x}$ and $- 3 x$ .

$- 3 x - 5^{x} - 6$

Step 2

Evaluate $f + g$ at $x$ .

$- 3 x - 5^{x} - 6$

Step 3

Remove parentheses.

$- 3 x - 5^{x} - 6$