SOLUTION: What is the discontinuity and zero of the function f(x) = the quantity of 3 x squared plus x minus 4, all over x minus 1?

Question 1105531: What is the discontinuity and zero of the function f(x) = the quantity of 3 x squared plus x minus 4, all over x minus 1?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
3x^2+x-4/(x-1)
discontinuity at x=1, for denominator is 0.
(3x+4)(x-1)/(x-1) is factored form of numerator.
Because x-1 cancels, it is a hole rather than an asymptote, and that hole is the discontinuity.
3x+4=0
x=-4/3 is the zero.

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