# If f( x ) = 3x ^ { 3} - 13x ^ { 2} + 6x - 4, what is f(3)?

Jan 18, 2018

$- 22$

#### Explanation:

Replace all the x’s in f(x) with 3 so you can evaluate it ..

$f \left(x\right) = 3 {x}^{3} - 13 {x}^{2} + 6 x - 4$

$f \left(3\right) = 3 {\left(3\right)}^{3} - 13 {\left(3\right)}^{2} + 6 \left(3\right) - 4$

$= 3 \left(27\right) - 13 \left(9\right) + 6 \left(3\right) - 4$

$= 81 - 117 + 18 - 4$

$= - 22$