What is the inverse of f(x)=e^{5x^2} ?

The inverse of f(x)=e^{5x^2} is sqrt((ln(x))/5),-sqrt((ln(x))/5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=e^{5x^2}

inverse

f (x) = e^{5 x^{2}}

\frac{ln ( x )}{5}, - \frac{ln ( x )}{5}

Solution steps

y = e^{5 x^{2}}

Replace

x

with

y

x = e^{5 y^{2}}

Solve for

y, x = e^{5 y^{2}}

\frac{ln ( x )}{5}, - \frac{ln ( x )}{5}

f (x) = \frac{3 x + 2}{x + 1}

4 + ln (x)

f (x) = \frac{x - 3}{3 x + 7}

f (x) = \frac{x ^{3}}{4}

What is the inverse of f(x)=e^{5x^2} ?
The inverse of f(x)=e^{5x^2} is sqrt((ln(x))/5),-sqrt((ln(x))/5)