Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
a
a
a
be a real parameter. For the function
f
a
(
x
)
=
a
x
−
1
x
2
−
a
f_a(x)=\dfrac{\sqrt{ax-1}}{x^{2}-a}
f
a
(
x
)
=
x
2
−
a
a
x
−
1
to be defined for at least one real
x
x
x
, determine all possible values of
a
a
a
.
Browse the problem library