How do you find the excluded values of variables?

you put the fraction in simplest form (the numerator and denominator have no common factors besides one)

then you find what number your variable should be to make the denominator 0. this is excluded value b/c your denominator can never equal 0

the number you found is your excluded value

ex.

4

------ Your excluded value is 3 because 3(3-3)=0

x(x-3)