How do you find the domain of #f(x) = (3x+4) / (2x-3)#?
The domain consists of all numbers you can legally plug into the original. The excluded "illegal" values would be dividing by zero or negatives under square roots.
This expression has a denominator, so there is a risk of illegally dividing by zero. This would happen only if
This means that
Domain: All real numbers except
For rational functions, you find the range by evaluating the degree of the numerator compared to the degree of the denominator. If the degree of the top > degree of bottoms, then you have a horizontal asymptote at