Question

Describe the graph of $f^{-1}$ when $f$ is decreasing and always negative - dispute with solution from Spivak.

score 170 · Answer 1 · 2020-08-10 19:45:23

170

Views

Describe the graph of $f^{-1}$ when $f$ is decreasing and always negative - dispute with solution from Spivak.

Published on 10 Aug 2020 - 19:45

score 165 · Answer 2 · 2020-08-11 13:06:37

165

Views

If $f$ is an increasing function, then $f^{-1}$ is increasing - Proof Critique

Published on 11 Aug 2020 - 13:06

score 53 · Answer 3 · 2020-08-14 15:26:17

53

Views

Solving $ 4\sin(3\theta + 2) = 1 $

Published on 14 Aug 2020 - 15:26

score 509 · Answer 4 · 2020-08-15 11:04:42

509

Views

Find the number of points of discontinuity for $[\cot^{-1} x]$ [.] is the floor function

Published on 15 Aug 2020 - 11:04

score 120 · Answer 5 · 2020-08-18 21:39:13

120

Views

Invert discrete 2D mapping

Published on 18 Aug 2020 - 21:39

score 95 · Answer 6 · 2020-08-22 06:06:38

95

Views

Looking for a way to relate $\tan^{-1}(x)$, $\ln(x)$ and complex numbers.

Published on 22 Aug 2020 - 6:06

score 63 · Answer 7 · 2020-08-22 15:41:14

63

Views

If $f(x)=\sin^{-1}x +\cos^{-1} x$ and $g(x)$ are identical, find $g(x)$

Published on 22 Aug 2020 - 15:41

score 931 · Answer 8 · 2026-03-26 02:50:11

931

Views

Recovering a pdf from quantile function

Published on 26 Mar 2026 - 2:50

score 39 · Answer 9 · 2026-03-31 15:04:47

39

Views

Composition of an inverse function with another function

Published on 31 Mar 2026 - 15:04

score 925 · Answer 10 · 2020-08-25 16:47:15

925

Views

Why does the equation with $2 \arctan(x)$ and other Inverse Trigonometric functions have weird conditions?

Published on 25 Aug 2020 - 16:47

score 280 · Answer 11 · 2020-08-27 20:56:22

280

Views

Dot notation for "member" of a mathematical "object"

Published on 27 Aug 2020 - 20:56

score 68 · Answer 12 · 2020-08-31 14:56:55

68

Views

What happens if the left-inverse of a linear map is applied to elements outside of the map's image?

Published on 31 Aug 2020 - 14:56

score 254 · Answer 13 · 2026-04-01 21:34:52

254

Views

Finding values of $a$, $b$, $c$, $d$ such that a $f(x)=\frac{ax+d}{cx+b}$ is self inverse

Published on 01 Apr 2026 - 21:34

score 2.4k · Answer 14 · 2020-09-01 18:12:26

2.4k

Views

Prove that a function $f: A \rightarrow B$ is surjective if $f(f^{-1}(Y)) = Y$ for all $Y \subseteq B$.

Published on 01 Sep 2020 - 18:12

score 94 · Answer 15 · 2020-09-05 03:02:25

94

Views

Stillwell — Preservation of Compactness under Continuous Functions

Published on 05 Sep 2020 - 3:02

List Question

Describe the graph of $f^{-1}$ when $f$ is decreasing and always negative - dispute with solution from Spivak.

If $f$ is an increasing function, then $f^{-1}$ is increasing - Proof Critique

Solving $ 4\sin(3\theta + 2) = 1 $

Find the number of points of discontinuity for $[\cot^{-1} x]$ [.] is the floor function

Invert discrete 2D mapping

Looking for a way to relate $\tan^{-1}(x)$, $\ln(x)$ and complex numbers.

If $f(x)=\sin^{-1}x +\cos^{-1} x$ and $g(x)$ are identical, find $g(x)$

Recovering a pdf from quantile function

Composition of an inverse function with another function

Why does the equation with $2 \arctan(x)$ and other Inverse Trigonometric functions have weird conditions?

Dot notation for "member" of a mathematical "object"

What happens if the left-inverse of a linear map is applied to elements outside of the map's image?

Finding values of $a$, $b$, $c$, $d$ such that a $f(x)=\frac{ax+d}{cx+b}$ is self inverse

Prove that a function $f: A \rightarrow B$ is surjective if $f(f^{-1}(Y)) = Y$ for all $Y \subseteq B$.

Stillwell — Preservation of Compactness under Continuous Functions

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