How do you find the inverse of any function, in general?Tebow15 said:Homework Statement
How do I find the inverse of these functions step by step?
y= e^-x^3
y= sin(1/x)
I know the solutions but I don't know how to work with these two functions. Does anyone know the steps to finding the inverse of these?
An inverse function is a function that reverses the effect of another function. It undoes the process of the original function, resulting in the original input value.
To find the inverse of a function, switch the x and y variables and solve for y. This will give you the inverse function in terms of x.
The notation for an inverse function is f-1(x). This is read as "f inverse of x".
To check if two functions are inverses, you can use the composition of functions method. Plug one function into the other and simplify. If the resulting expression is equal to x, then the functions are inverses of each other.
No, only one-to-one functions have inverses. This means that for every input, there is only one unique output. Functions that fail the horizontal line test do not have inverses.