The inverse of a function can be found by switching the independent variable (typically the "x") and the dependent variable (typically the "y") and solving for the "new y". You can also create a t-chart for the original function, switch the x and the y, and graph the new relation.
You will note that a function and its inverse are symmetrical around the line "y = x".
Sometimes the inverse of a function is not actually a function; since it doesn't pass the "vertical line test"; in this case, you have to restrict the new function by "erasing" some of it to make it a function.
Chat with our AI personalities
The inverse of the inverse is the original function, so that the product of the two functions is equivalent to the identity function on the appropriate domain. The domain of a function is the range of the inverse function. The range of a function is the domain of the inverse function.
The original function's RANGE becomes the inverse function's domain.
The inverse of the cubic function is the cube root function.
range TPate
No, an function only contains a certain amount of vertices; leaving a logarithmic function to NOT be the inverse of an exponential function.