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Problems
Let
f
(
x
)
=
{
x
3
−
x
2
+
10
x
−
5
,
x
≤
1
−
2
x
+
log
2
(
b
2
−
2
)
,
x
>
1
f(x)=\begin{cases} x^3-x^2+10x-5, & x\le 1\\ -2x+\log_2(b^2-2), & x>1 \end{cases}
f
(
x
)
=
{
x
3
−
x
2
+
10
x
−
5
,
−
2
x
+
lo
g
2
(
b
2
−
2
)
,
x
≤
1
x
>
1
…
Mathematics
Problem
Let
f
(
x
)
=
{
x
3
−
x
2
+
10
x
−
5
,
x
≤
1
−
2
x
+
log
2
(
b
2
−
2
)
,
x
>
1
f(x)=\begin{cases} x^3-x^2+10x-5, & x\le 1\\ -2x+\log_2(b^2-2), & x>1 \end{cases}
f
(
x
)
=
{
x
3
−
x
2
+
10
x
−
5
,
−
2
x
+
lo
g
2
(
b
2
−
2
)
,
x
≤
1
x
>
1
Find the values of
b
b
b
for which
f
(
x
)
f(x)
f
(
x
)
has the greatest value at
x
=
1
x=1
x
=
1
.
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