How to find the inverse of a quadratic that is a function

👉 Learn how to find the inverse of a quadratic function. A quadratic function is a function whose highest exponent in the variable(s) of the function is 2. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that when the inverse of a function is made the argument (input) of a function, the result is x.

Given a function, say f(x), to find the inverse of the function, we first change f(x) to y. Next, we change all x to y and y to x. and then we solve for y. The obtained solution for y is the inverse of the original function.

Organized Videos:
✅ Find the Inverse of a Function
✅ Find the Inverse of a Function | Linear
✅ Find the Inverse of a Function | Rational
✅ Find the Inverse of a Function | Cubic
✅ Find the Inverse of a Function | Quadratic
✅ Find the Inverse of a Function | Cube Root
✅ Find the Inverse of a Function | Square Root
✅ Find the Inverse of a Function | Table
✅ Find the Inverse of a Function | Graph
✅ How to Prove Two Functions are Inverses

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[brianmclogan]

yes follow the process in this video, i did not complete the square but rather switched my variables and solved

[idgrtsp]

You've got explanations for EVERYthing I'm looking for ... :O

[brianmclogan]

you are right Sheldon, I was not thinking correctly, it is obviously necessary to solve for the variable when in quadratic form with two variables.

[brianmclogan]

I think you are confused. Completing the square is a method for solving a quadratic or converting a quadratic in standard form to vertex form. Finding the inverse of a function does not include the process of completing the square. Let me know where you are still confused.

[Sheldoncollier]

Actually, completing the square is necessary to find the inverse of most quadratics, like y = x^2 + 5x + 4.

[mar]

Hi Brian, are there any other ways besides completing the square, to find the inverse function?

[blovermore]

Thanks so much, I was racking my brain trying to figure out why we can look at a graph of a quadratic function and automatically know that its inverse is NOT a function, and yet when we solve algebraically it is a function. It's just because I was forgetting to put plus or minus before the root sign 😆

[mar]

Right. But what methods besides completing the square work to find the inverse of a quadratic function? Completing the square is one method but are there any other methods?

[jenniferkirot]

It's not yet over. You have to rationalize it

[jszarkngl]

How do you solve f(x)= 3x²+4 / 2 and gets an answer of square root of 2? Thank you!:)

[shrideviswami]

He looks like him legend can only understand

[chelseadeveluz]

How to find iverse function lf a trinomial?

[craftzforkidz]

Hi sir, thank you for making this video with an amazing explanation
I just have one question and that is how do I do a question that has something like 7-2 (x-1)^2

[thirunayandinesh]

Hi sir, what is the inverse if f(X) = X^2 +2x+4

[ms.teacher]

Greater than or equal to 12....why equal to? 12 is equal to 12 and the answer will be 0...????

[jaspertyler]

f(x)= x^2 - 2x find the inverse anyone??