Question

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

Answer 1

To find the relationship between them, lets do some algebra:

f(x) = (7/10)^x

g(x) = (7/10)^-x

if we do:

f(x) * g(x) = 1

due to exponents multiplying addition law, therefore, the relationship, gives:

f(x) = 1 / g(x)