What is the inverse of f(x)=(3x-8)/(2x+1) ?

The inverse of f(x)=(3x-8)/(2x+1) is (-8-x)/(2x-3)

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inverse of f(x)=(3x-8)/(2x+1)

inverse

f (x) = \frac{3 x - 8}{2 x + 1}

\frac{- 8 - x}{2 x - 3}

Solution steps

y = \frac{3 x - 8}{2 x + 1}

Replace

x

with

y

x = \frac{3 y - 8}{2 y + 1}

Solve for

y, x = \frac{3 y - 8}{2 y + 1}

\frac{- 8 - x}{2 x - 3}

3 x - 3 x^{2}

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

f (x) = - 3 x - 18

f (x) = 1 - e^{(- 0.03 \cdot x^{1.2})}

ln (5 x + 7)

What is the inverse of f(x)=(3x-8)/(2x+1) ?
The inverse of f(x)=(3x-8)/(2x+1) is (-8-x)/(2x-3)