How do you find the domain and range of s(y) = (3y)/( y+5)?

1 Answer
Jim G.
Jun 25, 2017

"domain "inRR,!=-5
"range "inRR,!=3

Explanation:

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

"solve " y+5=0rArry=-5larrcolor(red)" excluded value"

rArr"domain " inRR,!=-5

"to find any excluded value in the range, we can find the"
"horizontal asymptote"

"divide terms on numerator/denominator by y"

((3y)/y)/(y/y+5/y)=3/(1+5/y)

as yto+-oo,s(y)to3/(1+0)

rArry=3larrcolor(red)" is an excluded value"

"range " inRR,y!=3

Related questions
See all questions in Domain and Range of a Function
Impact of this question
3931 views around the world
You can reuse this answer
Creative Commons License