Finite Math Examples

$g (- \frac{7}{2}) = 4 - 3 x$

Step 1

Replace the variable $x$ with $- \frac{7}{2}$ in the expression.

$g (- \frac{7}{2}) = 4 - 3 (- \frac{7}{2})$

Step 2

Simplify the result.

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Step 2.1

Multiply $- 3 (- \frac{7}{2})$ .

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Step 2.1.1

Multiply $- 1$ by $- 3$ .

$g (- \frac{7}{2}) = 4 + 3 (\frac{7}{2})$

Step 2.1.2

Combine $3$ and $\frac{7}{2}$ .

$g (- \frac{7}{2}) = 4 + \frac{3 \cdot 7}{2}$

Step 2.1.3

Multiply $3$ by $7$ .

$g (- \frac{7}{2}) = 4 + \frac{21}{2}$

Step 2.2

To write $4$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$g (- \frac{7}{2}) = 4 \cdot \frac{2}{2} + \frac{21}{2}$

Step 2.3

Combine $4$ and $\frac{2}{2}$ .

$g (- \frac{7}{2}) = \frac{4 \cdot 2}{2} + \frac{21}{2}$

Step 2.4

Combine the numerators over the common denominator.

$g (- \frac{7}{2}) = \frac{4 \cdot 2 + 21}{2}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $4$ by $2$ .

$g (- \frac{7}{2}) = \frac{8 + 21}{2}$

Step 2.5.2

Add $8$ and $21$ .

$g (- \frac{7}{2}) = \frac{29}{2}$

Step 2.6

The final answer is $\frac{29}{2}$ .

$\frac{29}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{29}{2}$

Decimal Form:

$14.5$

Mixed Number Form:

$14 \frac{1}{2}$

Step 4