haylieblackwel haylieblackwel
  • 22-12-2018
  • Mathematics
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Find the domain of the inverse function, q−1(x). Express your answer as an inequality.

Find the domain of the inverse function q1x Express your answer as an inequality class=

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MrBillDoesMath MrBillDoesMath
  • 22-12-2018

Hello from MrBillDoesMath!

Answer:

x >=4

Discussion:

The inverse of q is

-1 +\-  (x-4)^(1/4)                             (the fourth root of x-4)


(Inverse found by solving  x= (y+1)^4 +4 for y)

The domain of the inverse is therefore x such that x -4 >=0 , i.e. x >=4


Regards,  

MrB

P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!


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