Precalculus Examples

$g (a) = 2 a + 5$ $h (a) = 4 a + 3$ Find $g (- 3) - h (- 3)$

Step 1

Replace the variable $a$ with $- 3$ in the expression.

$g (- 3) = 2 (- 3) + 5$

Step 2

Replace the variable $a$ with $- 3$ in the expression.

$h (- 3) = 4 (- 3) + 3$

Step 3

Replace the function designators in $g (- 3) - h \cdot - 3$ with the actual functions.

$(2 (- 3) + 5) - (4 (- 3) + 3)$

Step 4

Simplify $(2 (- 3) + 5) - (4 (- 3) + 3)$ .

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Step 4.1

Simplify each term.

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Step 4.1.1

Multiply $2$ by $- 3$ .

$- 6 + 5 - (4 (- 3) + 3)$

Step 4.1.2

Multiply $4$ by $- 3$ .

$- 6 + 5 - (- 12 + 3)$

Step 4.1.3

Add $- 12$ and $3$ .

$- 6 + 5 - - 9$

Step 4.1.4

Multiply $- 1$ by $- 9$ .

$- 6 + 5 + 9$

Step 4.2

Simplify by adding numbers.

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Step 4.2.1

Add $- 6$ and $5$ .

$- 1 + 9$

Step 4.2.2

Add $- 1$ and $9$ .

$8$