What is the inverse of f(x)=(x+x^3)/(x^2) ?

The inverse of f(x)=(x+x^3)/(x^2) is (x+sqrt(x^2-4))/2 ,(x-sqrt(x^2-4))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=(x+x^3)/(x^2)

inverse

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

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

Solution steps

y = \frac{x + x ^{3}}{x ^{2}}

Replace

x

with

y

x = \frac{y + y ^{3}}{y ^{2}}

Solve for

y, x = \frac{y + y ^{3}}{y ^{2}}

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

f (x) = 5^{x + 1} - 3

\frac{1}{x + 12}

f (x) = 10 (5)^{x}

f (x) = x^{2} + 6 x - 3

tan (\frac{40}{60})

What is the inverse of f(x)=(x+x^3)/(x^2) ?
The inverse of f(x)=(x+x^3)/(x^2) is (x+sqrt(x^2-4))/2 ,(x-sqrt(x^2-4))/2