Evaluate the Function f(3)=4/5x-2

$f (3) = \frac{4}{5} x - 2$

Step 1

Replace the variable $x$ with $3$ in the expression.

$f (3) = \frac{4}{5} \cdot (3) - 2$

Step 2

Simplify the result.

Multiply $\frac{4}{5} (3)$ .

Combine $\frac{4}{5}$ and $3$ .

$f (3) = \frac{4 \cdot 3}{5} - 2$

Multiply $4$ by $3$ .

$f (3) = \frac{12}{5} - 2$

To write $- 2$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$f (3) = \frac{12}{5} - 2 \cdot \frac{5}{5}$

Combine $- 2$ and $\frac{5}{5}$ .

$f (3) = \frac{12}{5} + \frac{- 2 \cdot 5}{5}$

Combine the numerators over the common denominator.

$f (3) = \frac{12 - 2 \cdot 5}{5}$

Simplify the numerator.

Multiply $- 2$ by $5$ .

$f (3) = \frac{12 - 10}{5}$

Subtract $10$ from $12$ .

$f (3) = \frac{2}{5}$

The final answer is $\frac{2}{5}$ .

$\frac{2}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{5}$

Decimal Form:

$0.4$

Step 4