How do you find the inverse of #y=4/(x+4)# and is it a function?

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Mar 8, 2018

Answer:

#:.f^-1(x)= 4/x-4 # , it is a function.

Explanation:

#y= 4/(x+4) ; f(x)# is undefined at #x=-4#

#x= 4/(y+4) or y+4= 4/x :. y= 4/x-4 #

#:.f^-1(x)= 4/x-4; f^-1(x)# is undefined at #x=0#

In graph , any vertical line does not cross the graph in more than

one point, so it is a function.

graph{4/x-4 [-40, 40, -20, 20]}

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