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Mathematics
Mathematics
Problem
Let
f
:
R
→
R
f: \mathbb{R}\to \mathbb{R}
f
:
R
→
R
be defined by
f
(
x
)
=
(
k
−
1
)
x
+
k
f(x)=(k-1)x+k
f
(
x
)
=
(
k
−
1
)
x
+
k
. Determine all real values of
k
k
k
for which
f
f
f
is bijective.
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