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

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

Step 1

Replace the variable $x$ with $2$ in the expression.

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

Step 2

Simplify the result.

Simplify each term.

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

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

Multiply $4$ by $4$ .

$f (2) = 16 - (2) - 3$

Multiply $- 1$ by $2$ .

$f (2) = 16 - 2 - 3$

Simplify by subtracting numbers.

Subtract $2$ from $16$ .

$f (2) = 14 - 3$

Subtract $3$ from $14$ .

$f (2) = 11$

The final answer is $11$ .

$11$

Step 3