Evaluate the Function f(x)=3x^2+2x-20 for x=3

$f (x) = 3 x^{2} + 2 x - 20$ for $x = 3$

Replace the variable $x$ with $3$ in the expression.

$f (3) = 3 {(3)}^{2} + 2 (3) - 20$

Simplify the result.

Simplify each term.

Multiply $3$ by ${(3)}^{2}$ by adding the exponents.

Multiply $3$ by ${(3)}^{2}$ .

Raise $3$ to the power of $1$ .

$f (3) = 3 {(3)}^{2} + 2 (3) - 20$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$f (3) = 3^{1 + 2} + 2 (3) - 20$

Add $1$ and $2$ .

$f (3) = 3^{3} + 2 (3) - 20$

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

$f (3) = 27 + 2 (3) - 20$

Multiply $2$ by $3$ .

$f (3) = 27 + 6 - 20$

Simplify by adding and subtracting.

Add $27$ and $6$ .

$f (3) = 33 - 20$

Subtract $20$ from $33$ .

$f (3) = 13$

The final answer is $13$ .

$13$