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10 May, 09:52

Consider the functions f (x) = x to the second power + 9x and g (x) = 1/x.

F (g (-1)) is?

g (f (1/2)) is?

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Answers (1)
  1. 10 May, 11:50
    0
    Let's first calculate the inner functions, then fill in in the outer one:

    g (-1) = 1/-1 = - 1.

    f (-1) = (-1) ^2 + 9 (-1) = 1 - 9 = - 8

    And then

    f (1/2) = (1/2) ^2 + 9 (1/2) = 1/4 + 9/2 = 19/4

    g (19/4) = 4/19
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