MathDB
Problems
Contests
National and Regional Contests
Kosovo Contests
Kosovo National Mathematical Olympiad
2011 Kosovo National Mathematical Olympiad
2
Is f injective ? [KMO #2, (Grade 9)]
Is f injective ? [KMO #2, (Grade 9)]
Source:
March 13, 2011
function
Problem Statement
It is given the function
f
:
(
R
−
{
0
}
)
→
R
f: \left(\mathbb{R} - \{0\}\right) \to \mathbb{R}
f
:
(
R
−
{
0
}
)
→
R
such that
f
(
x
)
=
x
+
1
x
f(x)=x+\frac{1}{x}
f
(
x
)
=
x
+
x
1
. Is this function injective ? Justify your answer.
Back to Problems
View on AoPS