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QuestionFind g(−8)g(-8) for the function g(x)=−x2+6g(x)=-x^{2}+6. Show your work: g(−8)=g(-8)=

Studdy Solution

STEP 1

Assumptions1. The function is defined as g(x)=−x+6g(x)=-x^{}+6 . We are asked to find the value of the function at x=−8x=-8, i.e., g(−8)g(-8)

STEP 2

To find the value of the function at a specific point, we substitute the given value of xx into the function. In this case, we substitute x=−8x=-8 into the function g(x)=−x2+6g(x)=-x^{2}+6.
g(−8)=−(−8)2+6g(-8)=-(-8)^{2}+6

STEP 3

Next, we calculate the square of −8-8, which is (−8)2=64(-8)^{2}=64.
g(−8)=−64+6g(-8)=-64+6

STEP 4

Finally, we perform the subtraction operation to find the value of g(−8)g(-8).
g(−8)=−64+6=−58g(-8)=-64+6=-58So, g(−8)=−58g(-8)=-58.

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