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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = 4^{x + 1} - 2

sin (3 x)

y = - 2 x + 2, (1, 4)

y = 5 x - 7

f (x) = 8 - 6 x

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