# Let # f(x)= (x+3)/(x^2 -4x-12)# and #g(x)=sqrt(3-x)#, how do you find each of the compositions and domain and range?

##### 1 Answer

As explained below.

#### Explanation:

f(x) can be written as

For its range interchange x and y and solve the resultant quadratic equation for y. The result would be

y=

This would mean

Range would be

For g(x), domain would be

Range would be