How do you find the inverse of #f(x)=3+sqrt(x-8)#?

1 Answer
Alex Boroda
Jun 5, 2015

Answer: The inverse function is #f(x)=x^2-6x+17#

Explanation: We have the equation #y=3+sqrt(x-8)#.

In order to find the inverse function, we have to switch the variables #x# and #y# and then solve for #y#:

#x=3+sqrt(y-8)# #=># #sqrt(y-8)=x-3# #=># #y-8 = (x-3)^2# #=># #y= (x-3)^2 +8# #=># #y=x^2-6x+17 #

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