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National and Regional Contests
China Contests
(China) National High School Mathematics League
2011 China Second Round Olympiad
2
Range of a function
Range of a function
Source: China second round Test 1
January 30, 2012
function
algebra unsolved
algebra
Problem Statement
Find the range of the function
f
(
x
)
=
x
2
+
1
x
−
1
f(x)=\frac{\sqrt{x^2+1}}{x-1}
f
(
x
)
=
x
−
1
x
2
+
1
.
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