Evaluate Using the Given Value f(1/2)=5(1/2)-3

$f (\frac{1}{2}) = 5 (\frac{1}{2}) - 3$

Step 1

Combine $5$ and $\frac{1}{2}$ .

$f (\frac{1}{2}) = \frac{5}{2} - 3$

Step 2

To write $- 3$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$f (\frac{1}{2}) = \frac{5}{2} - 3 \cdot \frac{2}{2}$

Step 3

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

$f (\frac{1}{2}) = \frac{5}{2} + \frac{- 3 \cdot 2}{2}$

Step 4

Combine the numerators over the common denominator.

$f (\frac{1}{2}) = \frac{5 - 3 \cdot 2}{2}$

Step 5

Simplify the numerator.

Multiply $- 3$ by $2$ .

$f (\frac{1}{2}) = \frac{5 - 6}{2}$

Subtract $6$ from $5$ .

$f (\frac{1}{2}) = \frac{- 1}{2}$

Step 6

Move the negative in front of the fraction.

$f (\frac{1}{2}) = - \frac{1}{2}$