What is the inverse of f(x)=(3x+4)/(2-x) ?

The inverse of f(x)=(3x+4)/(2-x) is -(4-2x)/(3+x)

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inverse of f(x)=(3x+4)/(2-x)

inverse

f (x) = \frac{3 x + 4}{2 - x}

- \frac{4 - 2 x}{3 + x}

Solution steps

y = \frac{3 x + 4}{2 - x}

Replace

x

with

y

x = \frac{3 y + 4}{2 - y}

Solve for

y, x = \frac{3 y + 4}{2 - y}

- \frac{4 - 2 x}{3 + x}

- 2 x + 1 - 4

y = \frac{2 ^{x}}{3 + 2 ^{x}}

2 arccos (\frac{x}{3})

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

What is the inverse of f(x)=(3x+4)/(2-x) ?
The inverse of f(x)=(3x+4)/(2-x) is -(4-2x)/(3+x)