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Inverse Function
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Inverse Function
Tutorial
0:34
YouTube
Bill Kinney
REFLECTION Property of INVERSE Functions: How to Graph the Inverse of f(x) = 3x - 1
How do you graph an inverse function without plotting a lot of points? Use the Reflection Property! In this 34-second tutorial, we graph f(x) = 3x - 1 and its inverse f⁻¹(x) = (x + 1)/3 by reflecting the graph of f across the line y = x to get the graph of f⁻¹. Key Visual Concepts: The Mirror Line: Every function and its inverse are ...
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4 months ago
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Here is a simple way to check that a function is indeed the inverse function. If you take an output from the original function and plug it into the inverse function, it should give you back the original input that you entered into the original function. Mathematically, this means that if f(x)=y, where x is the input and y is the output, then g(y)=x when g is your inverse function. This means that f(g(x))=x and g(f(x))=x, showing that the a function and its inverse cancel eachother out. #InverseF
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