Question

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

Answer 1

`y inRR,y!=0`

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]}