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algebra functions

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construct two composite functions, Evaluate each composite function for x=2. i do not fully understand functions yet can someone explain and show me what to do step by step

f(x)=x+1 g(x)=x-2

  • algebra functions -

    f is a function of x
    a composite function is a function of a function. So

    since f(x) = x+1,
    f(g) = g+1

    But, g is also a function, so

    f(g) = (x-2)+1 = x-1

    Similarly,

    g(f) = f-1 = (x+1)-2 = x-1

    In this case, f(g(x)) = g(f(x))

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