What is the inverse of f(x)=(7x-1)/(3x+2) ?

The inverse of f(x)=(7x-1)/(3x+2) is (-1-2x)/(3x-7)

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inverse of f(x)=(7x-1)/(3x+2)

inverse

f (x) = \frac{7 x - 1}{3 x + 2}

\frac{- 1 - 2 x}{3 x - 7}

Solution steps

y = \frac{7 x - 1}{3 x + 2}

Replace

x

with

y

x = \frac{7 y - 1}{3 y + 2}

Solve for

y, x = \frac{7 y - 1}{3 y + 2}

\frac{- 1 - 2 x}{3 x - 7}

f (x) = 2 x + 1 f (x) = x^{2} + 4

f (x) = x + 6 + 1

f (x) = \frac{8 x}{5 x - 4}

f (x) = - 5 x - 3 + 4

f (x) = \frac{1}{y}

What is the inverse of f(x)=(7x-1)/(3x+2) ?
The inverse of f(x)=(7x-1)/(3x+2) is (-1-2x)/(3x-7)