What is the inverse of f(x)=arctan(ln(3x)) ?

The inverse of f(x)=arctan(ln(3x)) is (e^{tan(x)})/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=arctan(ln(3x))

inverse

f (x) = arctan (ln (3 x))

\frac{e ^{t a n (x)}}{3}

Solution steps

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

ln (3 x) = tan (y)

Solve for

x, ln (3 x) = tan (y)

\frac{e ^{t a n (y)}}{3}

Substitute

y = x

\frac{e ^{t a n (x)}}{3}

f (x) = 1 - \frac{6}{5} x

f (x) = 2 x^{2} + 4 x - 1

f (x) = 2 x^{2} + 4 x - 3

f (x) = 15 (x - 1) + \frac{1}{2}

f (x) = 1 - 2 - x

What is the inverse of f(x)=arctan(ln(3x)) ?
The inverse of f(x)=arctan(ln(3x)) is (e^{tan(x)})/3