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1 January, 23:27

Let f (x) = 6-2+2e-0.3x.

What is f (-5) ?

Enter your answer, rounded to the nearest tenth, in the box.

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Answers (1)
  1. 2 January, 00:53
    0
    f (-5) = 10.9

    Step-by-step explanation:

    We know the the function is

    f (x) = 6-2+2e-0.3x

    We group terms

    f (x) = (6-2) + 2e-0.3x

    f (x) = (4) + 2e-0.3x

    We substitute the value for e (Euler's number)

    f (x) = (4) + 2 (2.7183) - 0.3x

    We add together

    f (x) = (4) + 2 (2.7183) - 0.3

    f (x) = (4) + 5.4366 - 0.3x

    f (x) = 9.4366 - 0.3x

    We substitute x = - 5

    f (-5) = 9.4366 - 0.3 (-5)

    f (-5) = 9.4366 + 1.5

    f (-5) = 10.9366

    f (-5) = 10.9
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