SOLUTION: f(x)=3x(x-1)/2x^2-5x-3 Find the domain and range of the equation

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Question 1107189: f(x)=3x(x-1)/2x^2-5x-3 Find the domain and range of the equation
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C%283x%5E2-3x%29%2F%282x%5E2-5x-3%29%29
The denominator can't be 0
so 2x^2-5x-3 or (2x+1)(x-3)=0 when x=-1/2 or 3
(-oo, -1/2)U (-1/2, 3) U (3, oo) is domain
range is all reals
when x approaches 3 from positive side, for example, the denominator approaches a small positive.
from negative side, the denominator approaches a small negative