What is the inverse of f(x)=(arctan(x-3))/pi ?

The inverse of f(x)=(arctan(x-3))/pi is tan(xpi)+3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

inverse of f(x)=(arctan(x-3))/pi

inverse

f (x) = \frac{arctan ( x - 3 )}{π}

tan (x π) + 3

Solution steps

Solve for

arctan (x - 3), y = \frac{arctan ( x - 3 )}{π}

arctan (x - 3) = y π

arctan (a) = b \Rightarrow a = tan (b)

x - 3 = tan (y π)

Solve for

x, x - 3 = tan (y π)

tan (y π) + 3

Substitute

y = x

tan (x π) + 3

What is the inverse of f(x)=(arctan(x-3))/pi ?
The inverse of f(x)=(arctan(x-3))/pi is tan(xpi)+3