# How do you simplify and find the restrictions for #(y-3)/(y+5)#?

##### 1 Answer

restriction:

#### Explanation:

*The given expression is already simplified and cannot be simplified any further.*

To find the restriction, recall that in any fraction, the denominator must **not** equal to

#(y-3)/(y+5)#

the denominator is expressed as a variable plus a constant. When setting the denominator to equal to

Thus,

#y+5=0#

#y+5color(white)(i)color(red)(-5)=0color(white)(i)color(red)(-5)#

#y=-5# restriction:

#color(green)(|bar(ul(color(white)(a/a)color(black)(y!=-5)color(white)(a/a)|)))#

To check your answer, you can plug in

Plugging in

#(y-3)/(y+5)#

#=(-5-3)/(-5+5)#

#=-8/0# undefined

#:.# , the restriction is correct.