The function \(f\) is defined by \(f(x) = -39^x\). The function \(g\)…

Question

Prompt

The function

f

is defined by

f (x) = - 3 9^{x}

. The function

g

is a decreasing linear function. In the

x y

-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?

x > k

x < h

x > k

x < h

h < x < k