What is the range of the function # y=(x+5)/(x-2)#?

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What is the range of the function # y=(x+5)/(x-2)#?

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Answer 1 · 2016-12-24T16:23:19

#(-oo,1)(1,oo)#

Explanation:

Solve for #x#, as follows

#y(x-2)=x+5#

#yx -x= 2y+5#

#x(y-1)=2y+5#

#x= (2y+5)/(y-1)#

In the above expression, #x# becomes undefined for #y=1#. This except for #y=1#, #x# is defined on all the number line. Hence Range of #y# is #(-oo,1)U(1,oo)#

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What is the range of the function # y=(x+5)/(x-2)#?

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