****college algebra****

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Let h(x) = 3x + 4. For what value of x is (h o h)(x) = h(x). If no such value exists, type DNE in the space provided.

  • ****college algebra**** -

    You want h(h) = h. That is,

    3h+4 = h
    3(3x+4) + 4 = 3x+4
    9x + 12 + 4 = 3x + 4
    6x = -12
    x = -2

    h(-2) = 3(-2) + 4 = -2

    Or, using h-1, you could say, recalling that
    h-1(h(x)) = x

    So, h-1(h(h)) = h-1(h)
    h = x
    3x+4 = x
    2x = -4
    x = -2

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