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

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

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

inverse

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

\frac{4 - x}{- 10 x + 1}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{4 - x}{- 10 x + 1}

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

f (x) = 4 - x^{2}, 0 \leq x \leq 2

3 x^{3} - 2

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

- x^{2}

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