Question

Calculate the domain and range of the function y= (3) / (2x + 3)?

Answer 1

Domain: R-{-3/2}
Range: R

Explanation:

The definition of the domain is the set of numbers for which the given function is defined for. So here, as long as the denominator is not zero, the function is defined. The denominator is 0 only when x=-1.5.

The range of a function is defined as all the values that the function can give. Here, the function can result in all values in the set of real numbers.

Here's a graph that will help you understand it better.

graph{3/(2x+3) [-10, 10, -5, 5]}

You can see that as x approaches -1.5, the function tends to infinity.