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Mathematics
Mathematics
Problem
If
f
′
(
x
)
>
g
′
(
x
)
f'(x)>g'(x)
f
′
(
x
)
>
g
′
(
x
)
for every
x
x
x
in
(
2
,
7
)
(2,7)
(
2
,
7
)
and
f
(
2
)
=
g
(
2
)
f(2)=g(2)
f
(
2
)
=
g
(
2
)
, which one of the following statements holds for all
x
∈
(
2
,
7
)
x\in(2,7)
x
∈
(
2
,
7
)
? a)
f
(
x
)
<
g
(
x
)
f(x)<g(x)
f
(
x
)
<
g
(
x
)
b)
f
(
x
)
=
g
(
x
)
f(x)=g(x)
f
(
x
)
=
g
(
x
)
c)
f
(
x
)
>
g
(
x
)
f(x)>g(x)
f
(
x
)
>
g
(
x
)
d)
f
(
x
)
f(x)
f
(
x
)
and
g
(
x
)
g(x)
g
(
x
)
intersect exactly once in
(
2
,
7
)
(2,7)
(
2
,
7
)
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