Question

given f(x), evaluate f(-6).
f(x)=2x^{2}+5x - \frac{x}{3}
f(-6)=?
simplify your answer.

Explanation:

Step1: Substitute x = -6

Substitute $x=-6$ into $f(x)=2x^{2}+5x - \frac{x}{3}$.
$f(-6)=2\times(-6)^{2}+5\times(-6)-\frac{-6}{3}$

Step2: Calculate powers

Calculate $(-6)^{2}=36$.
$f(-6)=2\times36 + 5\times(-6)-\frac{-6}{3}$

Step3: Perform multiplications

$2\times36 = 72$ and $5\times(-6)=-30$.
$f(-6)=72-30+\frac{6}{3}$

Step4: Simplify fraction and subtract/add

$\frac{6}{3}=2$, then $72-30 + 2=44$.

Answer:

$44$