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Math Help - Function question

  1. #1
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    Function question

    Hey, I'm struggling to get the answer for the following question:

    The functions f and g are defined by the following forumlae: f(x) = x^2 and g(x) = x - 1, for all real numbers x. Find g o f and f o g and determine whether g o f equals f o g.

    (NOTE: That little o symbol is a function composition, you can find it on the following link if you're not sure what it's supposed to be: Table of mathematical symbols - Wikipedia, the free encyclopedia).

    Thanks in advance.
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  2. #2
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    Quote Originally Posted by Toolman View Post
    Hey, I'm struggling to get the answer for the following question:

    The functions f and g are defined by the following forumlae: f(x) = x^2 and g(x) = x - 1, for all real numbers x. Find g o f and f o g and determine whether g o f equals f o g.

    (NOTE: That little o symbol is a function composition, you can find it on the following link if you're not sure what it's supposed to be: Table of mathematical symbols - Wikipedia, the free encyclopedia).

    Thanks in advance.
    (f \circ g)(x) = f(g(x)) = f(x - 1) = (x - 1)^2

    (g \circ f)(x) = g(f(x)) = g(x^2) = x^2 - 1

    -Dan
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  3. #3
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    Thank you.
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