What is the inverse of f(x)=(6x+2)/(7x+1) ?

The inverse of f(x)=(6x+2)/(7x+1) is (2-x)/(7x-6)

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inverse of f(x)=(6x+2)/(7x+1)

inverse

f (x) = \frac{6 x + 2}{7 x + 1}

\frac{2 - x}{7 x - 6}

Solution steps

y = \frac{6 x + 2}{7 x + 1}

Replace

x

with

y

x = \frac{6 y + 2}{7 y + 1}

Solve for

y, x = \frac{6 y + 2}{7 y + 1}

\frac{2 - x}{7 x - 6}

\frac{1}{1 + x}

f (x) = \frac{( 7 x - 2 )}{6 x + 5}

\frac{( x + 7 )}{( x - 2 )}

+ \frac{x ^{2} - 7 x + 10}{x + 2}

y = \frac{3 x}{5 x - 9}

What is the inverse of f(x)=(6x+2)/(7x+1) ?
The inverse of f(x)=(6x+2)/(7x+1) is (2-x)/(7x-6)