For a function to be invertible, it means that there exists another function that can "undo" the original function. In other words, if we apply the original function to a value, we can use the inverse function to get back the original value.
A function is invertible if it is both one-to-one (1-1) and onto. This means that for every input there is a unique output, and every output has a corresponding input.
A 1-1 function means that each input is mapped to a unique output, while an onto function means that every output has a corresponding input. A function that is both 1-1 and onto is invertible.
Yes, a non-linear function can be invertible as long as it is both 1-1 and onto. This means that the function does not necessarily have to be a straight line to have an inverse function.
To find the inverse of a function, you can use the following steps: 1) Replace the function notation with y; 2) Solve for y in terms of x; 3) Swap the x and y variables; 4) Rewrite the equation using function notation with the new x and y variables. The resulting function is the inverse of the original function.