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

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

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

inverse

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

\frac{- 1 + 2 x}{2 x + 3}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{- 1 + 2 x}{2 x + 3}

f (x) = 21 t^{0.8}

5 + 3 x - 4

y = e^{7 - 6 x}

f (x) = 6.75 x + 12

5 - x^{2}, x \geq 0

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