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Pre-Cal

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Find two functions f and g such that (f X g)(x) = h(x). (There are many correct answers.)

h(x) = 4 / (5x + 2)^2 =

My answers were: f(x) = 4 / 5x, and
g(x) = 5x + 2

Please explain. These answers were wrong and I do not know how to fix them!!

  • Pre-Cal - ,

    using your answers

    g(x) = (5x+2)

    f (g(x)) = 4 /[5(5x+2)]

    = 4/(25x+10)
    ----------------------
    Say g(x) = 1/(5x+2)
    and f(x) = 4 x^2

    then f(g(x)) = 4 [ 1^2/(5x+2)^2 ]

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