Question

given g(x) = 3/(x-2)
Why is the range (-infinity, 0) union (0, positive infinity)? I get the answer, but not the concept?

Answer 1

Range is basically asking for where does the function exist for the y values.

Answer 2

This function will never have y being 0 since the top is always 3.
Fractions are only equal to 0 when the numerator is 0.

Answer 3

Oooooooh! I didn't think of that. THANK YOU!

Answer 4

NP :)