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Math Help - Find Thier domains

  1. #1
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    Find Thier domains

    Find f(g(x))= (fog) (x), and g(f(x))= (gof) (x)

    find their domains

    F(x)= l x-4 l
    g(x)= 3x+2
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  2. #2
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    Well, you can find (FoG)(x) and (GoF)(x) easily. Simply put G(x) whereever an x is in the F(x), and vice versa for the other one.

    The Domain is simply what range of values can be used in each function. Can it be any number or only a limited range of numbers?
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  3. #3
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    The real question is "do you understand what "domain" means?" If you do, then this question is very simple.

    Are there any values of x for which you cannot subtract 4 and take the absolute value?

    Are there any values of x for which you cannot multiply by 3 and add 2?
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