What is the inverse of the function y= e the power of x when 0 less than or equal to 1 and their graph

Answer 1

To find the inverse of a function, we need to first solve for x in terms of y. For the function y = e^x, taking the natural logarithm of both sides gives:

ln(y) = x

So the inverse function is:

x = ln(y)

Now, we can graph both the original function and its inverse on the same set of axes to see how they relate:


As we can see from the graph, the original function y = e^x is an increasing exponential function that passes through the point (0,1). Its inverse, x = ln(y), is a decreasing logarithmic function that passes through the same point. The two functions are reflections of each other across the line y = x, which represents the identity function.