What is the inverse of f(x)=(9-4x)/(4x+3) ?

The inverse of f(x)=(9-4x)/(4x+3) is (9-3x)/(4(1+x))

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inverse of f(x)=(9-4x)/(4x+3)

inverse

f (x) = \frac{9 - 4 x}{4 x + 3}

\frac{9 - 3 x}{4 ( 1 + x )}

Solution steps

y = \frac{9 - 4 x}{4 x + 3}

Replace

x

with

y

x = \frac{9 - 4 y}{4 y + 3}

Solve for

y, x = \frac{9 - 4 y}{4 y + 3}

\frac{9 - 3 x}{4 ( 1 + x )}

2 x + 8

f (x) = \frac{x ^{\frac{1}{2}}}{7}

y = 2 ln (x + 3)

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

f (x) = \frac{( 3 x + 2 )}{( 2 x - 5 )}

What is the inverse of f(x)=(9-4x)/(4x+3) ?
The inverse of f(x)=(9-4x)/(4x+3) is (9-3x)/(4(1+x))