Evaluate the Function f(x)=x^3-6x+1 for x=6

$f (x) = x^{3} - 6 x + 1$ for $x = 6$

Replace the variable $x$ with $6$ in the expression.

$f (6) = {(6)}^{3} - 6 \cdot 6 + 1$

Simplify the result.

Simplify each term.

Raise $6$ to the power of $3$ .

$f (6) = 216 - 6 \cdot 6 + 1$

Multiply $- 6$ by $6$ .

$f (6) = 216 - 36 + 1$

Simplify by adding and subtracting.

Subtract $36$ from $216$ .

$f (6) = 180 + 1$

Add $180$ and $1$ .

$f (6) = 181$

The final answer is $181$ .

$181$