# How do you find the domain and range of #y = 1 / (x+5)#?

##### 2 Answers

Apr 4, 2017

**Domain is**

**Range is**

#### Explanation:

Domain: Denominator should not be

Domain is any real value except

Range is any real value except

Apr 4, 2017

see explanation.

#### Explanation:

The denominator of y cannot be zero as this would make y undefined. Equating the denominator to zero and solving gives the value that x cannot be.

#"solve " x+5=0rArrx=-5#

#rArr"domain is " x in RR,x!=-5#

#"Rearrange "y " to make x the subject"#

#y(x+5)=1#

#rArrxy+5y=1rArrxy=1-5y#

#rArrx=(1-5y)/y# Applying the same reasoning as for the domain we obtain.

#"range is " y in RR,y!=0#