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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = 3 (x + 2)^{2} + 1

f (x) = x^{2} + 8 x + 16

2250 (0.015 - 0.001 x)^{2} + 6000 x

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

f (x) = - \frac{9}{2} x + 6

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