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college algebra

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given f(x)=4x-5, g(x)= x+5 over 4 Find (fog)(x). are these inverse functions?

  • college algebra -

    (fog)(x)
    = f(g(x))
    = f( (x+5)/4)
    = 4(x+5)/4 - 5
    = x+5-5 = x

    so , yes, they are inverses of each other

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