What is the inverse of f(x)=(5x-3)/(1-4x) ?

The inverse of f(x)=(5x-3)/(1-4x) is -(-3-x)/(5+4x)

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inverse of f(x)=(5x-3)/(1-4x)

inverse

f (x) = \frac{5 x - 3}{1 - 4 x}

- \frac{- 3 - x}{5 + 4 x}

Solution steps

y = \frac{5 x - 3}{1 - 4 x}

Replace

x

with

y

x = \frac{5 y - 3}{1 - 4 y}

Solve for

y, x = \frac{5 y - 3}{1 - 4 y}

- \frac{- 3 - x}{5 + 4 x}

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

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

f (x) = 69 - 15 x

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

f (x) = \frac{200 x}{12 + ( x - 4 ) ^{2}}

What is the inverse of f(x)=(5x-3)/(1-4x) ?
The inverse of f(x)=(5x-3)/(1-4x) is -(-3-x)/(5+4x)