Finite Math Examples

$f (x) = \frac{3}{5} + 5$

Step 1

Write $f (x) = \frac{3}{5} + 5$ as an equation.

$y = \frac{3}{5} + 5$

Step 2

Simplify $\frac{3}{5} + 5$ .

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Step 2.1

To write $5$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$y = \frac{3}{5} + 5 \cdot \frac{5}{5}$

Step 2.2

Combine $5$ and $\frac{5}{5}$ .

$y = \frac{3}{5} + \frac{5 \cdot 5}{5}$

Step 2.3

Combine the numerators over the common denominator.

$y = \frac{3 + 5 \cdot 5}{5}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply $5$ by $5$ .

$y = \frac{3 + 25}{5}$

Step 2.4.2

Add $3$ and $25$ .

$y = \frac{28}{5}$

Step 3

Since $y = \frac{28}{5}$ is a horizontal line, the y-values are $\frac{28}{5}$ for any value of x. Choose any three x-values to obtain three solutions.

$(0, \frac{28}{5}), (1, \frac{28}{5}), (2, \frac{28}{5})$

Step 4