Question Evaluate $g(2)$ for the function $g(x) = 9x^2 + 4x - 21$ .

Studdy Solution

STEP 1

Assumptions1. The function is $g(x) =9x^{} +4x -21$ . We need to evaluate the function at $x =$

STEP 2

To evaluate the function $g(x)$ at $x =2$ , we substitute $x =2$ into the function.
$g(2) =9(2)^{2} +4(2) -21$

STEP 3

First, calculate the square of2.
$(2)^{2} =$ So, the equation becomes $g(2) =9() +(2) -21$

STEP 4

Next, multiply9 by4.
$9(4) =36$ So, the equation becomes $g(2) =36 +4(2) -21$

STEP 5

Then, multiply4 by2.
$4(2) =8$ So, the equation becomes $g(2) =36 +8 -21$

STEP 6

Finally, perform the addition and subtraction from left to right.
$36 +8 -21 =23$ So, $g(2) =23$ .

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