What is the inverse of f(x)=(4x-7)/(3-x) ?

The inverse of f(x)=(4x-7)/(3-x) is -(-7-3x)/(4+x)

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inverse of f(x)=(4x-7)/(3-x)

inverse

f (x) = \frac{4 x - 7}{3 - x}

- \frac{- 7 - 3 x}{4 + x}

Solution steps

y = \frac{4 x - 7}{3 - x}

Replace

x

with

y

x = \frac{4 y - 7}{3 - y}

Solve for

y, x = \frac{4 y - 7}{3 - y}

- \frac{- 7 - 3 x}{4 + x}

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

- x^{2} - 6 x - 13

f (x) = \frac{1 + x}{9 + 12 x}

f (x) = \frac{3}{5} x - 9

What is the inverse of f(x)=(4x-7)/(3-x) ?
The inverse of f(x)=(4x-7)/(3-x) is -(-7-3x)/(4+x)