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

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

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

inverse

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

- \frac{1 - 2 y}{5 ( 1 + y )}

Solution steps

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

Replace

y

with

x

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

Solve for

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

- \frac{1 - 2 y}{5 ( 1 + y )}

arccosh (x)

f (x) = \frac{6 x + 1}{4 x - 6}

f (x) = 2 3 x + 1

\frac{x}{x - 8}

f (x) = \frac{1}{4} [- 2 (x + 3)] + 5

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