What is the inverse of f(x)=(4x+3)/(-5x+2) ?

The inverse of f(x)=(4x+3)/(-5x+2) is -(3-2x)/(4+5x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=(4x+3)/(-5x+2)

inverse

f (x) = \frac{4 x + 3}{- 5 x + 2}

- \frac{3 - 2 x}{4 + 5 x}

Solution steps

y = \frac{4 x + 3}{- 5 x + 2}

Replace

x

with

y

x = \frac{4 y + 3}{- 5 y + 2}

Solve for

y, x = \frac{4 y + 3}{- 5 y + 2}

- \frac{3 - 2 x}{4 + 5 x}

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

\frac{x}{( x ^{2} + 14 x + 48 )}

f (x) = \frac{1}{2} x^{2} + 8 x + 3

\frac{1}{3}

f (x) = - 5 x^{2} + 8 x - 4

What is the inverse of f(x)=(4x+3)/(-5x+2) ?
The inverse of f(x)=(4x+3)/(-5x+2) is -(3-2x)/(4+5x)