What is the inverse of f(x)=sin((1-2x)/x) ?

The inverse of f(x)=sin((1-2x)/x) is 1/(2+arcsin(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=sin((1-2x)/x)

inverse

f (x) = sin (\frac{1 - 2 x}{x})

\frac{1}{2 + arcsin ( x )}

Solution steps

sin (a) = b \Rightarrow a = arcsin (b)

\frac{1 - 2 x}{x} = arcsin (y)

Solve for

x, \frac{1 - 2 x}{x} = arcsin (y)

\frac{1}{2 + arcsin ( y )}

Substitute

y = x

\frac{1}{2 + arcsin ( x )}

\frac{e ^{x + 2}}{e ^{x + 2} - 4}

f (x) = \frac{3 x}{2} - 12

y = x (- x + 8)

\frac{28}{s ^{6}}

What is the inverse of f(x)=sin((1-2x)/x) ?
The inverse of f(x)=sin((1-2x)/x) is 1/(2+arcsin(x))