Problem

Let

f(x)

and

g(x)

be two functions which are defined and differentiable for all

x > x_0

. If

f(x_0) = g(x_0)

and

f'(x) > g'(x)

for all

x > x_0

, then a.

f(x) < g(x)

for some

x > x_0

f(x) = g(x)

for some

x > x_0

f(x) > g(x)

only for some

x > x_0

f(x) > g(x)

for all

x > x_0