What is the inverse of f(x)=(1+2x)/(6-5x) ?

The inverse of f(x)=(1+2x)/(6-5x) is -(1-6x)/(2+5x)

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inverse of f(x)=(1+2x)/(6-5x)

inverse

f (x) = \frac{1 + 2 x}{6 - 5 x}

- \frac{1 - 6 x}{2 + 5 x}

Solution steps

y = \frac{1 + 2 x}{6 - 5 x}

Replace

x

with

y

x = \frac{1 + 2 y}{6 - 5 y}

Solve for

y, x = \frac{1 + 2 y}{6 - 5 y}

- \frac{1 - 6 x}{2 + 5 x}

f (x) = \frac{8 x}{5 x - 1}

1000 e^{0.025 x}

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

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

What is the inverse of f(x)=(1+2x)/(6-5x) ?
The inverse of f(x)=(1+2x)/(6-5x) is -(1-6x)/(2+5x)