Evaluate the Function f(x)=2x^2+x-3 at x=4

$f (x) = 2 x^{2} + x - 3$ at $x = 4$

Replace the variable $x$ with $4$ in the expression.

$f (4) = 2 {(4)}^{2} + 4 - 3$

Simplify the result.

Remove parentheses.

$f (4) = 2 {(4)}^{2} + 4 - 3$

Simplify each term.

Raise $4$ to the power of $2$ .

$f (4) = 2 \cdot 16 + 4 - 3$

Multiply $2$ by $16$ .

$f (4) = 32 + 4 - 3$

Simplify by adding and subtracting.

Add $32$ and $4$ .

$f (4) = 36 - 3$

Subtract $3$ from $36$ .

$f (4) = 33$

The final answer is $33$ .

$33$