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Matt
Matt asked in Science & MathematicsMathematics · 5 years ago

What is the Inverse function of f(x)= x^5? and please show steps, I need help !!!?

What I did was:

f(x) = x^5

y = x^5

x = y^5

x^1/5 = y ?..

4 Answers

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  • Anonymous
    5 years ago

    F(x) = x^5

    X = y^5

    Y = (x)^1/5

  • la console
    Lv 7
    5 years ago

    f(x) = x⁵

    y = x⁵ → to get the reverse, you permute x with y

    x = y⁵

    y⁵ = x

    [y⁵]^(1/5) = x^(1/5)

    y^[5 * (1/5)] = x^(1/5)

    y^(1) = x^(1/5)

    y = x^(1/5)

  • cidyah
    Lv 7
    5 years ago

    x^(1/5) = y

    f^-1(x) = x^(1/5)

    you're correct

  • nyphdinmd
    Lv 7
    5 years ago

    Take the fifth root of both sides of the equation

    f(x) = x^5 --> (f(x))^(1/5) = (x^5)^(1/5) = x^(5/5) = x --> x = (f(x))^(1/5) = f^-1(x)

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