Question Evaluate $h(3)$ for $h(x)=3x^2-2x+13$ . Simplify the result.

Studdy Solution

STEP 1

Assumptions1. The function is $h(x) =3x^ -x +13$ . We need to find the value of $h(3)$

STEP 2

To find $h()$ , we need to substitute $x=$ into the function $h(x)$ .
$h() =()^2 -2() +13$

STEP 3

First, calculate the value of $3^2$ .
$3^2 =9$ So, the equation becomes $h(3) =3(9) -2(3) +13$

STEP 4

Next, multiply $3$ by $9$ and $2$ by $3$ .
$h(3) =27 -6 +13$

STEP 5

Finally, perform the addition and subtraction operations.
$h(3) =27 - +13 =34$ So, $h(3) =34$ .

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