Question

How are the two functions f(x) = 0.7(6)x and g(x) = 0.7(6)–x related to each other?

g(x) is the reflection of f(x) over the x-axis.
g(x) is the reflection of f(x) over the y-axis.
g(x) is the reflection of f(x) over both axes.
g(x) and f(x) will appear to be the same function.

Answer 1

g(x) = 0.7·6^{−x} = f(−x), so g is the graph of f with x replaced by −x — a reflection of f across the y-axis.