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5 October, 13:16

If f (x) = x - 3 / x and g (x) = 5x - 4, what is the domain of (fog) (x)

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  1. 5 October, 16:20
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    You must plug the g (x) function into every x in f (x) ...

    ((5x) - 3) / (5x) = (fog) (x)

    Since the only value that would be undefined is x = 0 which makes the denominator zero, the domain is all reals except x = 0.

    Or

    (-∞,0) U (0,∞)
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