What is the inverse of f(x)=(4x-2)/(x+7) ?

The inverse of f(x)=(4x-2)/(x+7) is (-2-7x)/(x-4)

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inverse of f(x)=(4x-2)/(x+7)

inverse

f (x) = \frac{4 x - 2}{x + 7}

\frac{- 2 - 7 x}{x - 4}

Solution steps

y = \frac{4 x - 2}{x + 7}

Replace

x

with

y

x = \frac{4 y - 2}{y + 7}

Solve for

y, x = \frac{4 y - 2}{y + 7}

\frac{- 2 - 7 x}{x - 4}

\frac{- x + 1}{5 + 7 x}

1 - e^{- y}

f (x) = 3 - 12 x

4 + x^{2} + 8

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

What is the inverse of f(x)=(4x-2)/(x+7) ?
The inverse of f(x)=(4x-2)/(x+7) is (-2-7x)/(x-4)