Question

question 8 • 1 point

find \\(f(-3)\\) for the function, \\(f(x) = -\frac{x}{2} - \frac{3}{4}\\). write the answer as a fraction.

provide your answer below:

\\(f(-3) = \\)

Explanation:

Substitute the input value into the function

Using the Definition of a Function knowledge point

$$ F(-3) = -\frac{-3}{2} - \frac{3}{4} $$

Simplify the substituted expression

We simplify the double negative in the first term:

$$ F(-3) = \frac{3}{2} - \frac{3}{4} $$

Find a common denominator

We convert the first fraction to have a denominator of 4:

$$ \frac{3}{2} = \frac{3 \times 2}{2 \times 2} = \frac{6}{4} $$

Subtract the fractions

We subtract the numerators over the common denominator:

$$ F(-3) = \frac{6}{4} - \frac{3}{4} = \frac{3}{4} $$

Answer:

Find \(F(-3)\) for the function, \(F(x) = -\frac{x}{2} - \frac{3}{4}\). Write the answer as a fraction.

Provide your answer below:

\(F(-3) =\) <blank>\(\frac{3}{4}\)</blank>