Question

Let f(x)=1/x and g(x)=x^2-2x What two numbers are not in the domain of f o g?

Answer 1

First find f o g (x)

f o g (x) = 1 / x² - 2x

To find the numbers which are not in the domain of f o g equate the denominator to zero

x² - 2x = 0

x(x - 2) = 0

x = 0 and x = 2

The two numbers which are not in the domain of f o g are 0 and 2.

Hope this helps.