how would I find range of this e.g (6/(2x+3)) for x>0 I will put zero in place of x and find range that is 2 but I don't know it will be greater or less than x?

Question

936 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-05T09:02:40

The range is #y in RR-{0}#

To find the range, proceed as follows

Let #y=6/(2x+3)#

#y(2x+3)=6#

#2xy+3y=6#

#2xy=6-3y#

#x=(6-3y)/(2y)#

The denominator is #!=0#

Therefore,

#y!=0#

The range is #y in RR-{0}#

graph{6/(2x+3) [-18.02, 18.01, -9.01, 9.01]}