Question

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

Answer 1

0.7(6)^-x = 0.7 * 1 /6^x)
the graphs would be a reflection of each other in the y axis

Answer 2

g(x) is the reflection of f(x) through the y-axis.

Explanation:

Given : Functions
`f(x)=0.7(6)^x` and
`g(x)=0.7(6)^(-x)`

To find : How are the two functions related to each other?

Solution :

When we examine the two function,

`f(x)=0.7(6)^x` and
`g(x)=0.7(6)^(-x)`

We see that x-coordinate in g(x) is negative which signifies that it will be reflected through y-axis.

Therefore, the functions are related to each other as g(x) is the reflection of f(x) through the y-axis.