Find the Inverse of a Function Algebraically

Learn how to find the inverse of a function algebraically in this video math tutorial by Mario's Math Tutoring. We discuss what the inverse of a functions does, how to find it, the notation, as well as graphically what the inverse looks like. We discuss the example of f(x)=2x-8.

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You helped me get my associates degree. I’m so glad you still put out videos. You deserve all the wonderful things

[Itsjesse_]

Thank god for you. Wish you were my teacher

[jonahsabbe]

Was struggling a ton learning this concept for my upcoming test, this video helped immensely

[paneermakni]

Thank you Sir, I totally understand the topic now

[roodakhadar]

Easy simple maths video you are helped exams

[markmiller]

If the function maps x onto y meaning the function f(×) is y, then its inverse will map that y back onto x. Therefore the inverse tries to solve for x and not y. So f^-1(x) = x.
You need to solve for x but by convention if you express the inverse in terms of x as f^-1(×), on one side of the equation then the other side should also be expressed in terms of x. This is where we would make the switch, not at the start.