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QuestionFind g(−10)g(-10) for the function g(x)=−3x2−4xg(x)=-3 x^{2}-4 x. Show your work.

Studdy Solution

STEP 1

Assumptions1. The function is g(x)=−3x−4xg(x) = -3x^ -4x . We need to find the value of g(−10)g(-10)

STEP 2

To find the value of g(−10)g(-10), we need to substitute xx with −10-10 in the function g(x)g(x).
g(−10)=−(−10)2−4(−10)g(-10) = -(-10)^2 -4(-10)

STEP 3

First, calculate the square of −10-10.
(−10)2=100(-10)^2 =100So, the equation becomesg(−10)=−3(100)−(−10)g(-10) = -3(100) -(-10)

STEP 4

Now, multiply −3-3 with 100100 and −4-4 with −10-10.
g(−10)=−300+40g(-10) = -300 +40

STEP 5

Finally, add −300-300 and 4040 to find the value of g(−10)g(-10).
g(−10)=−300+40=−260g(-10) = -300 +40 = -260So, g(−10)=−260g(-10) = -260.

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