
Kenneth B.
asked 07/11/18High School Pre-Cal
What is the inverse of the function f(x)=√x-1+5
A. f-1(x) = (x+1)2 - 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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1 Expert Answer
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
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David W.
07/11/18