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Problem
Problem
Let
f
:
R
→
R
,
f
(
x
)
=
2
x
3
−
3
(
k
+
2
)
x
2
+
12
k
x
−
7
f: R \rightarrow R, f(x) = 2x^3 - 3(k+2)x^2 + 12kx - 7
f
:
R
→
R
,
f
(
x
)
=
2
x
3
−
3
(
k
+
2
)
x
2
+
12
k
x
−
7
,
−
4
≤
k
≤
6
,
k
∈
I
-4 \leq k \leq 6, k \in I
−
4
≤
k
≤
6
,
k
∈
I
, then the value of
k
k
k
for which
f
(
x
)
f(x)
f
(
x
)
is invertible is (a) 0 (b) 1 (c) 2 (d) 3
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