Question

Graph f(x)=2^x + 1 and it’s inverse equation on the same set of axes on the right. Make sure to label f(x) and f^-1(x) on the graph

Answer 1

The graph of the function and the inverse on the same set are attached

Graphing the function and the inverse on the same set

From the question, we have the following parameters that can be used in our computation:

f(x) = 2ˣ + 1

Express f(x) as y

This gives

y = 2ˣ + 1

Next, we swap x and y

`x = 2^y + 1`

Making y the subject, we get

`2^y = x - 1`

Lastly, we have

`y = \log_2(x - 1)`

So, the inverse of the function is
`g(x) = \log_2(x - 1)`

The graph of the function and the inverse on the same set are attached