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What is $f^{-1}(f(x)^2)$?

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#calculus #functions #inverse-function
153
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Question about the proof for the derivative of the inverse function

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#derivatives #inverse-function
190
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Find inverse of a continuous map in $\Bbb R^3$

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#functions #continuity #inverse-function
31
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Solve $\sin^{-1}(x) \cos^{-1}(x) = -1$

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#trigonometry #inverse-function
114
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inverse form of integer part function

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#calculus #functions #ceiling-and-floor-functions #inverse-function
51
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Does "inverting" distribute over addition? Is $(f(x)+g(x))^{-1} = f^{-1}(x) + g^{-1}(x)$ always true?

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#functions #inverse #inverse-function
134
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Which functions make it true? $(f(x)+g(x))^{-1} = f^{-1}(x) + g^{-1}(x)$

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#functions #inverse #functional-equations #inverse-function
213
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"invertible function" is the same thing as "one to one correspondence" which is the same thing as "bijection"?

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#functions #elementary-set-theory #inverse #inverse-function
771
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Solving the equation $\arccos(x)-\arcsin(x)=\arccos(\sqrt{3}x)$

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#trigonometry #inverse-function
232
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What is the meaning of maximum possible restriction of domain for a function’s inverse to be a function

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#definition #inverse-function
641
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How to derive the formula for $\arctan(x) + \arctan(y)$ depending on $x,y$?

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#functions #trigonometry #inverse-function
77
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Functional equation $f^{-1}(-x) = -f(x)$

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#functional-equations #inverse-function
104
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Sketch the graph of $\tan(y)=\frac{x}{1-x^2}$

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#calculus #limits #derivatives #graphing-functions #inverse-function
58
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What is the inverse of the partial derivative of a function?

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#derivatives #partial-derivative #inverse-function
198
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Is $\arctan ( \tan ( π + (π/4) ) )$ equal to $π/4$ or undefined?

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#functions #trigonometry #inverse #inverse-function

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