How do the graphs of the functions f(x) = (Three-halves)x and g(x) = (Two-thirds)x compare?

Answer:

To summarize the answer:

Step-by-step explanation:

Given:

Here is the graph associated with this question:

The second function, denoted as , does not qualify as a function.

Keep in mind that the g(x) function is the inversion of the f(x) function. Recognizing this pattern indicates a reflection on the Y-axis.

Reflection on the axes:

In the x-axis:

Enhance the function by -1 to illustrate an exponential curve around the x-axis.

In the y-axis:

Decrease the input of the function by -1 to depict the exponential function around the y-axis.

Answer:

The graphs are mirrored around the y-axis. The graph of g(x) exhibits exponential decay, while the graph of f(x) reflects exponential growth.