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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = \frac{( x + 7 ) ^{7}}{8}

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

f (x) = \frac{6 - 3 x}{5 x + 7}

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

f (x) = 2 \cdot 3^{x} + 9^{x} + 3

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