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Science
:
Math Exam Resources/Courses/MATH220/April 2011/Question 05/Statement
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From UBC Wiki
<
Science:Math Exam Resources
|
Courses/MATH220
|
April 2011
|
Question 05
Prove that the function
f
:
R
−
{
1
}
→
R
−
{
2
}
{\displaystyle f:\mathbb {R} -\{1\}\to \mathbb {R} -\{2\}}
given by
f
(
x
)
=
2
x
x
−
1
{\displaystyle f(x)={\frac {2x}{x-1}}}
is bijective.