Answer:
see below
Explanation:
You can determine the correct function by looking at the function and graph values at x = 1.
For some constant k, the function is ...
(g·h)(x) = g(x)·h(x) = (-3^x)(kx) = -kx·3^x
For x=1, the graph shows (g·h)(1) = 6. Using this in our expression for (g·h)(x), we have ...
(g·h)(1) = 6
-k(1)(3^1) = 6 . . . . use the expression for (g·h), filling in x=1
k = -2 . . . . . . . . . divide by -3
The function h(x) is ...
h(x) = -2x