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High School Pre-Cal

What is the inverse of the function f(x)=√x-1+5


A. f-1(x) = (x+1)2 - 5
 
B. f-1(x) = (x+5)2 - 1
 
C. f-1 (x) = (x-1)2 + 5
 
D. f-1 (x) = (x-5)2 + 1

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Answer D
 
take the original function
 
y = √x-1 + 5
 
switch the x and y
 
x = √y-1 + 5
 
solve for y
 
x - 5 = √y-1
 
(x-5)2 = y-1
 
(x-5)2 + 1 = y