What is the inverse of f(x)=(2x+5)/(7x+6) ?

The inverse of f(x)=(2x+5)/(7x+6) is (5-6x)/(7x-2)

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inverse of f(x)=(2x+5)/(7x+6)

inverse

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

\frac{5 - 6 x}{7 x - 2}

Solution steps

y = \frac{2 x + 5}{7 x + 6}

Replace

x

with

y

x = \frac{2 y + 5}{7 y + 6}

Solve for

y, x = \frac{2 y + 5}{7 y + 6}

\frac{5 - 6 x}{7 x - 2}

f (x) = \frac{5 x - 1}{- x + 2}

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

f (x) = \frac{x ^{3}}{7}

f (x) = \frac{6 - 3 x}{5 x + 7}

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

What is the inverse of f(x)=(2x+5)/(7x+6) ?
The inverse of f(x)=(2x+5)/(7x+6) is (5-6x)/(7x-2)