How do you find the domain for H(x) = [(x - 1) (x + 2) (x - 3)]/(x(x - 4)^2)?

1 Answer
Jul 6, 2018

(-oo,0)uu(0,4)uu(4,oo)

Explanation:

The denominator of h(x) cannot be zero as this would make h(x) undefined. Equating the denominator to zero and solving gives the values that x cannot be.

"solve "x(x-4)^2=0

rArrx=0" and "x=4larrcolor(red)"excluded values"

"domain "x in(-oo,0)uu(0,4)uu(4,oo)
graph{((x-1)(x+2)(x-3))/(x(x-4)^2) [-10, 10, -5, 5]}