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Math·Advanced Math·Nonlinear equations in one variable and systems of equations in two variables

hard

The function $f$ is defined by $f(x)=-39^x$. The function $g$ is a decreasing linear function. In the $xy$-plane, the graphs of $y=f(x)$ and $y=g(x)$ intersect at two points, $(h,j)$ and $(k,m)$, where $j>m$. When $g(x)<f(x)$, which of the following must also be true?

A

$x>k$

B

$x<h$

C

$x>k$ or $x<h$

D

$h<x<k$