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How to find domain and range of a rational equation using inverse

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Brian McLogan

Learn how to find the inverse of a rational function. A rational function is a function that has an expression in the numerator and the denominator of the function. 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.

Timestamps:
0:00 Intro
0:16 Start of Problem

Corrections:
6:19 It's positive 2, not a negative. (x=2)

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

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