Precalculus Examples

$h (x) = \frac{2}{3} x - 1$ , $h (9)$

Step 1

Replace the variable $x$ with $9$ in the expression.

$h (9) = \frac{2}{3} \cdot (9) - 1$

Step 2

Simplify $\frac{2}{3} \cdot (9) - 1$ .

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Step 2.1

Remove parentheses.

$\frac{2}{3} \cdot (9) - 1$

Step 2.2

Simplify each term.

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Step 2.2.1

Cancel the common factor of $3$ .

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Step 2.2.1.1

Factor $3$ out of $9$ .

$\frac{2}{3} \cdot (3 (3)) - 1$

Step 2.2.1.2

Cancel the common factor.

$\frac{2}{3} \cdot (3 \cdot 3) - 1$

Step 2.2.1.3

Rewrite the expression.

$2 \cdot 3 - 1$

Step 2.2.2

Multiply $2$ by $3$ .

$6 - 1$

Step 2.3

Subtract $1$ from $6$ .

$5$