Math

QuestionCalculate f(2)f(2) for the function f(x)=x2+3x7f(x)=x^{2}+3x-7.

Studdy Solution

STEP 1

Assumptions1. The function is given as f(x)=x+3x7f(x)=x^{}+3 x-7 . We need to find the value of the function when x=x=, i.e., f()f()

STEP 2

To find the value of the function for a specific value of xx, we substitute that value into the function. In this case, we substitute x=2x=2 into the function.
f(2)=(2)2+(2)7f(2) = (2)^{2}+(2)-7

STEP 3

First, we calculate the square of2.
(2)2=(2)^{2} =So, the equation becomesf(2)=+3(2)7f(2) =+3(2)-7

STEP 4

Next, we multiply3 by2.
3(2)=63(2) =6So, the equation becomesf(2)=4+67f(2) =4+6-7

STEP 5

Finally, we perform the addition and subtraction operations.
f(2)=4+7=3f(2) =4+-7 =3So, the value of f(2)f(2) is3.

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