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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = 3 (x - 5) + 8

f (x) = \frac{9}{x + 5}

f (x) = 5^{x + 2} = y - 4

g (x) = \frac{1}{2} x + 4

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