Precalculus Examples

$h (x) = 3 x + 3$ $g (x) = - 4 x + 1$ Find $(h + g) (10)$

Step 1

Evaluate $h + g$ .

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Step 1.1

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

$3 x + 3 - 4 x + 1$

Step 1.2

Remove parentheses.

$3 x + 3 - 4 x + 1$

Step 1.3

Subtract $4 x$ from $3 x$ .

$- x + 3 + 1$

Step 1.4

Add $3$ and $1$ .

$- x + 4$

Step 2

Evaluate $h + g$ at $10$ .

$- (10) + 4$

Step 3

Simplify $- (10) + 4$ .

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Step 3.1

Remove parentheses.

$- (10) + 4$

Step 3.2

Multiply $- 1$ by $10$ .

$- 10 + 4$

Step 3.3

Add $- 10$ and $4$ .

$- 6$