What is the inverse of f(x)=(7x-6)/(x+4) ?

The inverse of f(x)=(7x-6)/(x+4) is (-6-4x)/(x-7)

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inverse of f(x)=(7x-6)/(x+4)

inverse

f (x) = \frac{7 x - 6}{x + 4}

\frac{- 6 - 4 x}{x - 7}

Solution steps

y = \frac{7 x - 6}{x + 4}

Replace

x

with

y

x = \frac{7 y - 6}{y + 4}

Solve for

y, x = \frac{7 y - 6}{y + 4}

\frac{- 6 - 4 x}{x - 7}

- 2 sin (4 x - π)

f (x) = - 5 (- 5 x - 1)^{2}

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

cos (\frac{- 9}{161})

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

What is the inverse of f(x)=(7x-6)/(x+4) ?
The inverse of f(x)=(7x-6)/(x+4) is (-6-4x)/(x-7)