What is the inverse of f(x)=((9x+5))/((x-2)) ?

The inverse of f(x)=((9x+5))/((x-2)) is (5+2x)/(x-9)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=((9x+5))/((x-2))

inverse

f (x) = \frac{( 9 x + 5 )}{( x - 2 )}

\frac{5 + 2 x}{x - 9}

Solution steps

y = \frac{9 x + 5}{x - 2}

Replace

x

with

y

x = \frac{9 y + 5}{y - 2}

Solve for

y, x = \frac{9 y + 5}{y - 2}

\frac{5 + 2 x}{x - 9}

y = \frac{x}{x - 3}

f (4) = \frac{8}{x - 3}

f (x) = \frac{17}{x ^{2} + 8 x + 17}

\frac{4 x}{5 - x}

f (x) = 4 π x^{2}

What is the inverse of f(x)=((9x+5))/((x-2)) ?
The inverse of f(x)=((9x+5))/((x-2)) is (5+2x)/(x-9)