Respuesta :
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)
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)
Answer:
We will see that g(x) is a reflection over the y-axis of f(x).
How does a reflection work?
For a given function f(x), we can define:
A reflection over the x-axis as: g(x) = -f(x)
A reflection over the y-axis as: g(x) = f(-x).
In this case we have:
f(x) = 0.7*(6)^x
g(x) = 0.7*(6)^-x = f(-x)
So is ratter easy to notice that g(x) is a reflection over the y-axis of f(x), so the correct option is:
"g(x) is the reflection of f(x) over the y-axis."
If you want to learn more about reflections, you can read:
brainly.com/question/4289712
