What is the inverse of f(x)=(x^2+3x-10)/(x-2) ?

The inverse of f(x)=(x^2+3x-10)/(x-2) is 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)=(x^2+3x-10)/(x-2)

inverse

f (x) = \frac{x ^{2} + 3 x - 10}{x - 2}

x - 5

Solution steps

y = \frac{x ^{2} + 3 x - 10}{x - 2}

Replace

x

with

y

x = \frac{y ^{2} + 3 y - 10}{y - 2}

Solve for

y, x = \frac{y ^{2} + 3 y - 10}{y - 2}

x - 5

e^{3 y}

f (0) = - \frac{2}{3} x + 2

f (x) = - 5 x + \frac{7}{3}

f (x) = - (x + 3)^{2} - 5

\frac{2 x + 8}{5 x - 1}

What is the inverse of f(x)=(x^2+3x-10)/(x-2) ?
The inverse of f(x)=(x^2+3x-10)/(x-2) is x-5