# How do you find the domain and range of #f(x)= sqrt(4-x^2) /( x-3)#?

##### 1 Answer

Domain

Range

#### Explanation:

Domain is quite evident that

For finding the range, consider the domain from which it can be seen that y would never have any positive value and at end points +2, -2 it is 0, hence

Next square both sides, so that it is a quadratic equation in x,

For a function Real to Real

The range of the function would this be