Verifying Inverse Functions...1

Discussion in 'Other Pre-University Math' started by nycmathguy, Aug 13, 2021.

  1. nycmathguy

    nycmathguy

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    Section 1.9
    Question 18

    Let cr = cube root

    f(g(x)) = (cr{x - 5})^3 + 5

    f(g(x)) = x - 5 + 5

    f(g(x)) = x

    Let cr = cube root

    g(f(x)) = cr{x^3 + 5 - 5}

    g(f(x)) = cr{x^3}

    g(f(x)) = x

    Since f(g(x)) = g(f(x)), f and g are inverse functions.

    20210809_223759.jpg
     
    nycmathguy, Aug 13, 2021
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  2. nycmathguy

    MathLover1

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    correct
     
    MathLover1, Aug 13, 2021
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  3. nycmathguy

    nycmathguy

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    Easy stuff.
     
    nycmathguy, Aug 14, 2021
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