What is the inverse of f(x)=(-10)/(1-4x) ?

The inverse of f(x)=(-10)/(1-4x) is -(-10-x)/(4x)

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inverse of f(x)=(-10)/(1-4x)

inverse

f (x) = \frac{- 10}{1 - 4 x}

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

Solution steps

y = \frac{- 10}{1 - 4 x}

Replace

x

with

y

x = \frac{- 10}{1 - 4 y}

Solve for

y, x = \frac{- 10}{1 - 4 y}

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

f (x) = 0.6 x - 2

f (x) = 10 0^{t}

f (x) = \frac{8 x}{x ^{2} - 1}

x^{2} - 4 x + 7

f (x) = - 2^{- x} + 1

What is the inverse of f(x)=(-10)/(1-4x) ?
The inverse of f(x)=(-10)/(1-4x) is -(-10-x)/(4x)