What is the range of the function y=-3/(4x+4)?

1 Answer
Jim G.
Jun 8, 2017

y inRR,y!=0

Explanation:

"rearrange making x the subject"

y=-3/(4x+4)

rArry(4x+4)=-3larrcolor(blue)"cross-multiplying"

rArr4xy+4y=-3larr" distributing"

rArr4xy=-3-4y

rArrx=-(3+4y)/(4y)

"the denominator cannot equal zero as this would make"
"the function undefined"
"equating the denominator to zero and solving gives the"
"value that y cannot be"

"solve "4y=0rArry=0larrcolor(red)" excluded value"

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

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