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

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

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

inverse

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

\frac{3 + 7 x}{3 x + 7}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{3 + 7 x}{3 x + 7}

- x - 5

f (x) = \frac{5 x - 2}{3}

f (x) = \frac{9}{2 x - 5}

y = 2 x - 2

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

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