# What is the range of the function #f(x) = 7 / (2x-10)#?

##### 1 Answer

Aug 24, 2017

#### Answer:

#### Explanation:

#"given "y=7/(2x-10)#

#"rearrange making x the subject"#

#rArry(2x-10)=7larrcolor(blue)"cross-multiplying"#

#rArr2yx-10y=7#

#rArr2yx=7+10y#

#rArrx=(7+10y)/(2y)#

#"the denominator cannot equal zero"#

#2y=0rArry=0larrcolor(red)" is excluded value"#

#rArr"range is "y inRR,y!=0#

graph{7/(2x-10) [-10, 10, -5, 5]}