Solved on Sep 26, 2023

Evaluate h(3)h(3) for h(x)=3x22x+13h(x)=3x^2-2x+13. Simplify the result.

STEP 1

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

STEP 2

To find h()h(), we need to substitute x=x= into the function h(x)h(x).
h()=()22()+13h() =()^2 -2() +13

STEP 3

First, calculate the value of 323^2.
32=93^2 =9So, the equation becomesh(3)=3(9)2(3)+13h(3) =3(9) -2(3) +13

STEP 4

Next, multiply 33 by 99 and 22 by 33.
h(3)=276+13h(3) =27 -6 +13

STEP 5

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

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