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Mathematics
Mathematics
Problem
Consider the functions
f
(
x
)
f(x)
f
(
x
)
and
g
(
x
)
g(x)
g
(
x
)
, both defined from
R
→
R
\mathbb{R}\to\mathbb{R}
R
→
R
and are defined as
f
(
x
)
=
2
x
−
x
2
f(x) = 2x - x^2
f
(
x
)
=
2
x
−
x
2
and
g
(
x
)
=
x
n
g(x) = x^n
g
(
x
)
=
x
n
where
n
∈
N
n \in \mathbb{N}
n
∈
N
. If the area between
f
(
x
)
f(x)
f
(
x
)
and
g
(
x
)
g(x)
g
(
x
)
is
1
/
2
1/2
1/2
, then
n
n
n
is a divisor of a. 12 b. 15 c. 20 d. 30
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