What is the inverse of f(x)=(3-8x)/(4+7x) ?

The inverse of f(x)=(3-8x)/(4+7x) is (3-4x)/(7x+8)

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inverse of f(x)=(3-8x)/(4+7x)

inverse

f (x) = \frac{3 - 8 x}{4 + 7 x}

\frac{3 - 4 x}{7 x + 8}

Solution steps

y = \frac{3 - 8 x}{4 + 7 x}

Replace

x

with

y

x = \frac{3 - 8 y}{4 + 7 y}

Solve for

y, x = \frac{3 - 8 y}{4 + 7 y}

\frac{3 - 4 x}{7 x + 8}

f (x) = 3 ln (\frac{x + 5}{2})

f (x) = - \frac{5}{4} x - 2

\frac{3 - 4 x}{x + 1}

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

What is the inverse of f(x)=(3-8x)/(4+7x) ?
The inverse of f(x)=(3-8x)/(4+7x) is (3-4x)/(7x+8)