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Christa
Christa asked in Science & MathematicsMathematics · 8 years ago

FIND THE INVERSE: h(x)=7/x+4? h^-1(x)= Simplify?

2 Answers

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  • Wile E.
    Lv 7
    8 years ago
    Favorite Answer

    h(x) = 7 / (x + 4)

    Change h(x) to y:

    y = 7 / (x + 4)

    Rewrite the equation in terms of x:

    y(x + 4) = 7

    x + 4 = 7 / y

    x = (7 / y) + 4

    x = (7 / y) + (4y / y)

    x = (7 + 4y) / y

    x = (4y + 7) / y

    Swap x and y:

    y = (4x + 7) / x

    Change y to hˉ¹(x):

    hˉ¹(x) = (4x + 7) / x

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    Source(s): 8/8/13
  • Chloe
    8 years ago

    x=7/y+4

    x-4=7/y

    y(x-4)=7

    y=7/(x-4)

    therefore:

    h^-1(x)=7/(x-4)

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