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4 November, 10:15

Suppose that the functions h and f are defined as follows. h (x) = 3/x, x notequalto 0 f (x) = x^2 - 1 Find the compositions h composite function h and f composite function f Simplify your answers as much as possible. (Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain.)

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  1. 4 November, 10:36
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    hf (x) = 3 / (x² - 1)

    fh (x) = (9 - x²) / x²

    Step-by-step explanation:

    h (x) = 3/x

    f (x) = x² - 1

    h (f (x)) = 3/f (x)

    hf (x) = 3 / (x² - 1)

    f (h (x)) = (h (x)) ² - 1

    = (3/x) ² - 1

    = 9/x² - 1

    fh (x) = (9 - x²) / x²
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