Let f (x) = 1/x and g(x) = x² – 3x. what two numbers are not in the domain of fºg?

For this case we have the following equations:

We must find

By definition of composition of functions we have to:

So:

We must find the domain of f (g (x)). The domain will be given by the values for which the function is defined, that is, when the denominator is nonzero.

So, the roots are:

The domain is given by all real numbers except 0 and 3.

x other than 0 and 3

ANSWER

0 and 3

EXPLANATION

The given functions are

and

Factor the numerator:

The function will be undefined if the denominator is zero.

Therefore 0 and not in the domain of the composed function.

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step-by-step explanation:

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