Question

Let $f:\mathbb{R \rightarrow R}$ satisfies $f(x)+f(y)= f \biggl(\frac{x+y}{1-xy}\biggl)$ and $f'(0)=5$. Then find $f(x)$

score 103 · Answer 1 · 2021-09-12 12:21:30

103

Views

Let $f:\mathbb{R \rightarrow R}$ satisfies $f(x)+f(y)= f \biggl(\frac{x+y}{1-xy}\biggl)$ and $f'(0)=5$. Then find $f(x)$

Published on 12 Sep 2021 - 12:21

score 44 · Answer 2 · 2026-03-28 23:59:07

44

Views

Write, $q =-e^{-3m}\left({27m^4 +27m^3 + 18m^2+ 6m \over 81m}\right)$ in terms of f

Published on 28 Mar 2026 - 23:59

score 92 · Answer 3 · 2021-09-13 16:12:11

92

Views

Plotting $2 \arctan x + \arctan \frac{2x}{x^2-1}$

Published on 13 Sep 2021 - 16:12

score 169 · Answer 4 · 2026-02-24 07:07:54

169

Views

"Lagrange inversion" around points with $f'(x_0)=0$

Published on 24 Feb 2026 - 7:07

score 225 · Answer 5 · 2026-03-31 09:42:10

225

Views

Show that $\gamma$ is a parametrization for the one sheet hyperboloid

Published on 31 Mar 2026 - 9:42

score 2.6k · Answer 6 · 2021-09-14 23:01:47

2.6k

Views

Inverse of a Fractional Exponent?

Published on 14 Sep 2021 - 23:01

score 289 · Answer 7 · 2026-03-26 12:37:07

289

Views

What is the inverse in the complex plane of $e^z + z$?

Published on 26 Mar 2026 - 12:37

score 106 · Answer 8 · 2026-03-28 23:57:51

106

Views

Finding the inverse function of $f(x) = -(9x^2 + 6x + 2)e^{-3x}$ using the generalised Lambert function.

Published on 28 Mar 2026 - 23:57

score 69 · Answer 9 · 2021-09-16 16:49:45

69

Views

Evaluate $\tan(\frac{1}{2}\sin^{-1}\frac{3}{4})$

Published on 16 Sep 2021 - 16:49

score 680 · Answer 10 · 2021-09-20 11:36:32

680

Views

Is this called a partial inverse function?

Published on 20 Sep 2021 - 11:36

score 51 · Answer 11 · 2021-09-21 16:41:12

51

Views

Inverse functions and $f(x)=x$

Published on 21 Sep 2021 - 16:41

score 116 · Answer 12 · 2021-09-22 12:39:01

116

Views

What is the inverse of $f(x)=\frac{\sqrt{x}}{x-1}$?

Published on 22 Sep 2021 - 12:39

score 45 · Answer 13 · 2021-09-23 08:42:05

45

Views

Problem with my solution of a question of inverse Trigonometric Functions

Published on 23 Sep 2021 - 8:42

score 197 · Answer 14 · 2026-03-31 14:18:34

Find the smallest number b so that the function $f(x)=x^3+5x^2+bx+1$ is invertable and evaluate $\frac{d}{dx}f^{-1}(1)$ for that value of b.

score 242 · Answer 15 · 2026-03-27 18:56:56

242

Views

Is there a way to write the $n^\text{th}$ super root in terms of the lambert W function?

Published on 27 Mar 2026 - 18:56

List Question

Let $f:\mathbb{R \rightarrow R}$ satisfies $f(x)+f(y)= f \biggl(\frac{x+y}{1-xy}\biggl)$ and $f'(0)=5$. Then find $f(x)$

Write, $q =-e^{-3m}\left({27m^4 +27m^3 + 18m^2+ 6m \over 81m}\right)$ in terms of f

Plotting $2 \arctan x + \arctan \frac{2x}{x^2-1}$

"Lagrange inversion" around points with $f'(x_0)=0$

Show that $\gamma$ is a parametrization for the one sheet hyperboloid

Inverse of a Fractional Exponent?

What is the inverse in the complex plane of $e^z + z$?

Finding the inverse function of $f(x) = -(9x^2 + 6x + 2)e^{-3x}$ using the generalised Lambert function.

Evaluate $\tan(\frac{1}{2}\sin^{-1}\frac{3}{4})$

Is this called a partial inverse function?

Inverse functions and $f(x)=x$

What is the inverse of $f(x)=\frac{\sqrt{x}}{x-1}$?

Problem with my solution of a question of inverse Trigonometric Functions

Find the smallest number b so that the function $f(x)=x^3+5x^2+bx+1$ is invertable and evaluate $\frac{d}{dx}f^{-1}(1)$ for that value of b.

Is there a way to write the $n^\text{th}$ super root in terms of the lambert W function?

Trending Questions

Popular # Hahtags

Popular Questions