Precalculus Examples

Find $(f + g) (x)$ ; given that $f (x) = 6 x + 7$ and $g (x) = 5 - 8 x$

Step 1

Evaluate $f + g$ .

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Step 1.1

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

$6 x + 7 + 5 - 8 x$

Step 1.2

Remove parentheses.

$6 x + 7 + 5 - 8 x$

Step 1.3

Subtract $8 x$ from $6 x$ .

$- 2 x + 7 + 5$

Step 1.4

Add $7$ and $5$ .

$- 2 x + 12$

Step 2

Evaluate $f + g$ at $x$ .

$- 2 x + 12$

Step 3

Remove parentheses.

$- 2 x + 12$