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QuestionEvaluate 2(x)=4x3−52(x)=4 x^{3}-5 for x=−2x=-2. What is the result?

Studdy Solution

STEP 1

Assumptions1. The function is (x)=4x3−5(x)=4 x^{3}-5 . The value of xx is −-

STEP 2

We need to substitute the value of xx into the function to evaluate it.
2(x)=4x−52(x) =4 x^{} -5

STEP 3

Substitute x=−2x = -2 into the function.
2(−2)=(−2)3−52(-2) = (-2)^{3} -5

STEP 4

Calculate (−2)3(-2)^{3}.
(−2)3=−8(-2)^{3} = -8

STEP 5

Substitute (−2)3=−8(-2)^{3} = -8 back into the function.
2(−2)=4(−8)−52(-2) =4 (-8) -5

STEP 6

Calculate 4(−8)4 (-8).
4(−8)=−324 (-8) = -32

STEP 7

Substitute 4(−)=−324 (-) = -32 back into the function.
2(−2)=−32−52(-2) = -32 -5

STEP 8

Calculate −32−5-32 -5.
−32−5=−37-32 -5 = -37

STEP 9

Substitute −32−5=−37-32 -5 = -37 back into the function.
2(−2)=−372(-2) = -37So, when x=−2x = -2, 2(x)=−372(x) = -37.

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