What is the inverse of f(x)=((-3x+2))/((4x-1)) ?

The inverse of f(x)=((-3x+2))/((4x-1)) is (2+x)/(4x+3)

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inverse of f(x)=((-3x+2))/((4x-1))

inverse

f (x) = \frac{( - 3 x + 2 )}{( 4 x - 1 )}

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

Solution steps

y = \frac{- 3 x + 2}{4 x - 1}

Replace

x

with

y

x = \frac{- 3 y + 2}{4 y - 1}

Solve for

y, x = \frac{- 3 y + 2}{4 y - 1}

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

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

f (x) = - \frac{4}{5} x + 4

y = x^{2} + 1, x \geq 0

7 x - 1

f (x) = \frac{200 t}{12 + ( t - 4 ) ^{2}}

What is the inverse of f(x)=((-3x+2))/((4x-1)) ?
The inverse of f(x)=((-3x+2))/((4x-1)) is (2+x)/(4x+3)