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Mathematics
Mathematics
Problem
Let
f
k
(
x
)
=
log
(
x
2
+
k
x
+
1
)
f_k(x)=\log\bigl(x^{2}+kx+1\bigr)
f
k
(
x
)
=
lo
g
(
x
2
+
k
x
+
1
)
, where
k
∈
R
k\in\mathbb R
k
∈
R
. a. (i) Find the set of all values of
k
k
k
for which
f
k
f_k
f
k
is defined for every real
x
x
x
. b. (ii) When
k
=
3
k=3
k
=
3
, state the domain of
f
k
f_k
f
k
.
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