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Mathematics
Problem
For
h
p
(
x
)
=
ln
(
1
+
p
x
)
h_p(x)=\ln(1+px)
h
p
(
x
)
=
ln
(
1
+
p
x
)
, the domain is the set of real numbers satisfying
1
+
p
x
>
0
1+px>0
1
+
p
x
>
0
. Which of the following describes all real values of
p
p
p
for which
h
p
h_p
h
p
is concave down on its entire domain? a)
p
<
0
p<0
p
<
0
b)
p
≠
0
p\neq 0
p
=
0
c)
p
=
0
p=0
p
=
0
d)
p
>
0
p>0
p
>
0
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