What is the inverse of f(x)=(2x+3)/(6-x) ?

The inverse of f(x)=(2x+3)/(6-x) is -(3-6x)/(2+x)

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inverse of f(x)=(2x+3)/(6-x)

inverse

f (x) = \frac{2 x + 3}{6 - x}

- \frac{3 - 6 x}{2 + x}

Solution steps

y = \frac{2 x + 3}{6 - x}

Replace

x

with

y

x = \frac{2 y + 3}{6 - y}

Solve for

y, x = \frac{2 y + 3}{6 - y}

- \frac{3 - 6 x}{2 + x}

f (x) = 8 x + 8

y = 3 x^{2} - 4

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

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

What is the inverse of f(x)=(2x+3)/(6-x) ?
The inverse of f(x)=(2x+3)/(6-x) is -(3-6x)/(2+x)