What is the inverse of f(x)=(10+4x)/(5x+6) ?

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

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inverse of f(x)=(10+4x)/(5x+6)

inverse

f (x) = \frac{10 + 4 x}{5 x + 6}

\frac{10 - 6 x}{5 x - 4}

Solution steps

y = \frac{10 + 4 x}{5 x + 6}

Replace

x

with

y

x = \frac{10 + 4 y}{5 y + 6}

Solve for

y, x = \frac{10 + 4 y}{5 y + 6}

\frac{10 - 6 x}{5 x - 4}

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

1 - e^{- \frac{x}{2}}

f (x) = \frac{2 x - 3}{4 x + 6}

f (x) = 3 x - 10 + 8

f (x) = 3 x - 10 + 4

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