Solve f(x)=3(-1/2)^2-2(-1/2)+5

$$f ( x ) = 3 ( - \frac { 1 } { 2 } ) ^ { 2 } - 2 ( - 1 / 2 ) + 5$$

Evaluate

$$\frac{27}{4}=6.75$$

Solution Steps

Calculate -\frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$3\times \frac{1}{4}-2\left(-\frac{1}{2}\right)+5$$

Multiply 3 and \frac{1}{4} to get \frac{3}{4}.

$$\frac{3}{4}-2\left(-\frac{1}{2}\right)+5$$

Cancel out 2 and 2.

$$\frac{3}{4}-\left(-1\right)+5$$

The opposite of -1 is 1.

$$\frac{3}{4}+1+5$$

Convert 1 to fraction \frac{4}{4}.

$$\frac{3}{4}+\frac{4}{4}+5$$

Since \frac{3}{4} and \frac{4}{4} have the same denominator, add them by adding their numerators.

$$\frac{3+4}{4}+5$$

Add 3 and 4 to get 7.

$$\frac{7}{4}+5$$

Convert 5 to fraction \frac{20}{4}.

$$\frac{7}{4}+\frac{20}{4}$$

Since \frac{7}{4} and \frac{20}{4} have the same denominator, add them by adding their numerators.

$$\frac{7+20}{4}$$

Add 7 and 20 to get 27.

$$\frac{27}{4}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {2}} = 6\frac{3}{4} = 6.75$$