What is the inverse of f(x)=(7x-6)/(x+3) ?

The inverse of f(x)=(7x-6)/(x+3) is (-6-3x)/(x-7)

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inverse of f(x)=(7x-6)/(x+3)

inverse

f (x) = \frac{7 x - 6}{x + 3}

\frac{- 6 - 3 x}{x - 7}

Solution steps

y = \frac{7 x - 6}{x + 3}

Replace

x

with

y

x = \frac{7 y - 6}{y + 3}

Solve for

y, x = \frac{7 y - 6}{y + 3}

\frac{- 6 - 3 x}{x - 7}

f (x) = \frac{8}{7 + x}

7 e^{x} - 3

f (x) = \frac{3 x ^{2} - 5}{6}

f (x) = - 2^{2} + 8 x - 11

f (x) = ln (2)

What is the inverse of f(x)=(7x-6)/(x+3) ?
The inverse of f(x)=(7x-6)/(x+3) is (-6-3x)/(x-7)