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

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

Evaluate

$$\frac{19}{4}=4.75$$

Solution Steps

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

$$3\times \frac{1}{4}-2\times \frac{1}{2}+5$$

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

$$\frac{3}{4}-2\times \frac{1}{2}+5$$

Cancel out 2 and 2.

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

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, subtract them by subtracting their numerators.

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

Subtract 4 from 3 to get -1.

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

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

$$-\frac{1}{4}+\frac{20}{4}$$

Since -\frac{1}{4} and \frac{20}{4} have the same denominator, add them by adding their numerators.

$$\frac{-1+20}{4}$$

Add -1 and 20 to get 19.

$$\frac{19}{4}$$

Factor

$$\frac{19}{2 ^ {2}} = 4\frac{3}{4} = 4.75$$