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Mathematics
Problem
For the function
f
:
[
0
,
∞
)
→
R
f:[0,\infty)\to\mathbb R
f
:
[
0
,
∞
)
→
R
given by
f
(
x
)
=
x
2
+
4
x
+
6
f(x)=x^{2}+4x+6
f
(
x
)
=
x
2
+
4
x
+
6
, state whether
f
f
f
is injective on its domain and justify your answer briefly.
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