What is the inverse of f(x)=(6-10x)/(8x+7) ?

The inverse of f(x)=(6-10x)/(8x+7) is (6-7x)/(2(5+4x))

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inverse of f(x)=(6-10x)/(8x+7)

inverse

f (x) = \frac{6 - 10 x}{8 x + 7}

\frac{6 - 7 x}{2 ( 5 + 4 x )}

Solution steps

y = \frac{6 - 10 x}{8 x + 7}

Replace

x

with

y

x = \frac{6 - 10 y}{8 y + 7}

Solve for

y, x = \frac{6 - 10 y}{8 y + 7}

\frac{6 - 7 x}{2 ( 5 + 4 x )}

y = 8 x

\frac{2 x - 3}{3 x - 2}

\frac{x + 5}{2}

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

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

What is the inverse of f(x)=(6-10x)/(8x+7) ?
The inverse of f(x)=(6-10x)/(8x+7) is (6-7x)/(2(5+4x))