Algebra 2

for the functions f(x) = 5x +50 and g(x) = 1/5x -10 evaluate both f(g(x)) and g(f(x)). Are these functions inverses?

do you put them into each other?

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  1. f(x) = 5x+50
    g(x) = x/5 - 10

    f(g(x)) = 5(x/5-10) + 50
    = x - 50 + 50 = x

    g(f(x) = (5x+50)/5 - 10
    = x + 10 - 10 = x

    Yup they are

    check:
    let f(x) = 5x+50 be written as
    y = 5x+50
    to form the inverse, interchange the x and y
    x = 5y + 50
    now solve this for y
    5y = x - 50
    y = x/5 - 10

    I was right.

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