How are the two functions f(x) = 0.7(6)x and g(x) = 0.7(6)–x related to each other?
0.7(6)^-x = 0.7 * 1 /6^x)
the graphs would be a reflection of each other in the y axis
Answer:
g(x) is the reflection of f(x) through the y-axis.
Step-by-step 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.