Evaluate the Function f(3)=2x^2+5 square root of x-2

$f (3) = 2 x^{2} + 5 \sqrt{x - 2}$

Step 1

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

$f (3) = 2 {(3)}^{2} + 5 \sqrt{(3) - 2}$

Step 2

Simplify the result.

Simplify each term.

Raise $3$ to the power of $2$ .

$f (3) = 2 \cdot 9 + 5 \sqrt{(3) - 2}$

Multiply $2$ by $9$ .

$f (3) = 18 + 5 \sqrt{(3) - 2}$

Subtract $2$ from $3$ .

$f (3) = 18 + 5 \sqrt{1}$

Any root of $1$ is $1$ .

$f (3) = 18 + 5 \cdot 1$

Multiply $5$ by $1$ .

$f (3) = 18 + 5$

Add $18$ and $5$ .

$f (3) = 23$

The final answer is $23$ .

$23$

Step 3