If fx) = x+7 and g (x) = 1/x-13, what is the domain of (f*g) (x)

Question

Markus Weiss

Mathematics

24 September, 23:18

If fx) = x+7 and g (x) = 1/x-13, what is the domain of (f*g) (x)

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Answers (1)

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Zack Friedman · Answer 1

F * g means exactly that.

Which is that you should multiply the definitions of the functions.

(x+7) (1/x-13) = x/x-13 + 7/x-13 = x+7/x-13

x+7/x-13

The domain of this function, is x13.

But not 13. Because 13-13 = 0

And it is not legal to divide a number by 0.

Hence, f*g (13) is not defined.