# How to Find the Inverse of a Function Using 3 Methods

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Finding the inverse of a function using three methods is something you will do all throughout your educational career. Find the inverse of a function using three methods with help from an experienced math professional in this free video clip.

Part of the Video Series: Solving Math Problems
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## Video Transcript

Hi, I'm Ryan Ault, I'm a physicist, and this is how to find the inverse of a function using three methods. Now, here above I've written three functions, and in order to find the inverse of them involves about three steps. So the first step, is to write all of your Xs as Ys. The second step involves solving for y, once you've done this. And the third step involves writing y as y inverse. So, for our first case we can say that x equals 2y, simply by writing the the y as x and the x as y. Now we can solve for y, and we find that y is equal to x over two. And now step three we simply write y as y inverse, which is equal to x over two. Now, for the third one, or the second problem, we can find that writing x as y, x is equal to y-squared, and solving for y we find that it's equal to plus or minus the square root of x. And step three, we find y inverse equals plus or minus the square root of x. And now for the third one, we can do the same thing, we find x is equal to the natural log of y, and we can solve for y by taking the exponent down here, not the exponent but what should be the base, so it's actually log base e, and you raise x to that power, and find that e to the x is equal to y. And writing y as y inverse we find y inverse equals e to the x. I'm Ryan Ault, and this is how to solve the inverse of a function using three methods.

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