What is the inverse of f(x)= 1/4-((x-10)/(x+6)) ?

The inverse of f(x)= 1/4-((x-10)/(x+6)) is (46-24x)/(4x+3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)= 1/4-((x-10)/(x+6))

inverse

f (x) = \frac{1}{4} - (\frac{x - 10}{x + 6})

\frac{46 - 24 x}{4 x + 3}

Solution steps

y = \frac{1}{4} - \frac{x - 10}{x + 6}

Replace

x

with

y

x = \frac{1}{4} - \frac{y - 10}{y + 6}

Solve for

y, x = \frac{1}{4} - \frac{y - 10}{y + 6}

\frac{46 - 24 x}{4 x + 3}

f (x) = (x - 1)^{2}, [1, \infty]

\frac{5 x - 15}{3 x + 7}

5 3 x + 1

\frac{2 x + 3}{5 x - 1}

e^{- \frac{1}{2} x^{2}}

What is the inverse of f(x)= 1/4-((x-10)/(x+6)) ?
The inverse of f(x)= 1/4-((x-10)/(x+6)) is (46-24x)/(4x+3)