# How do you evaluate the function f(x) = 3/4x^2 - 11 for f(2)?

Mar 20, 2018

See a solution process below:

#### Explanation:

For each occurrence of $\textcolor{red}{x}$ in $f \left(x\right)$ substitute $\textcolor{red}{2}$ and then evaluate the function:

$f \left(\textcolor{red}{x}\right) = \frac{3}{4} {\textcolor{red}{x}}^{2} - 11$ becomes:

$f \left(\textcolor{red}{2}\right) = \left(\frac{3}{4} \times {\textcolor{red}{2}}^{2}\right) - 11$

$f \left(\textcolor{red}{2}\right) = \left(\frac{3}{4} \times 4\right) - 11$

$f \left(\textcolor{red}{2}\right) = 3 - 11$

$f \left(\textcolor{red}{2}\right) = - 8$