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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