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Mathematics
Mathematics
Problem
Let
f
:
[
0
,
∞
)
→
R
f:[0,\infty)\to\mathbb R
f
:
[
0
,
∞
)
→
R
be defined by
f
(
x
)
=
3
x
2
+
6
x
+
5
f(x)=3x^{2}+6x+5
f
(
x
)
=
3
x
2
+
6
x
+
5
. a. (i) Show that
f
f
f
is one–to–one on its domain. b. (ii) Using part (i), find
f
−
1
(
y
)
f^{-1}(y)
f
−
1
(
y
)
and state its domain and range.
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