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Mathematics
Mathematics
Problem
Define
f
:
R
→
R
f: \mathbb{R}\to \mathbb{R}
f
:
R
→
R
by
f
(
x
)
=
{
k
x
+
3
,
x
≥
0
,
x
2
+
1
,
x
<
0.
f(x)=\begin{cases}kx+3,& x\ge 0,\\ x^{2}+1,& x<0.\end{cases}
f
(
x
)
=
{
k
x
+
3
,
x
2
+
1
,
x
≥
0
,
x
<
0.
\nFind all real values of
k
k
k
for which
f
f
f
is bijective.
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