What is the inverse of f(x)=(5x-3)/(1/2-7x) ?

The inverse of f(x)=(5x-3)/(1/2-7x) is -(-6-x)/(2(5+7x))

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inverse of f(x)=(5x-3)/(1/2-7x)

inverse

f (x) = \frac{5 x - 3}{\frac{1}{2} - 7 x}

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

Solution steps

y = \frac{5 x - 3}{\frac{1}{2} - 7 x}

Replace

x

with

y

x = \frac{5 y - 3}{\frac{1}{2} - 7 y}

Solve for

y, x = \frac{5 y - 3}{\frac{1}{2} - 7 y}

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

What is the inverse of f(x)=(5x-3)/(1/2-7x) ?
The inverse of f(x)=(5x-3)/(1/2-7x) is -(-6-x)/(2(5+7x))