What is the inverse of f(x)=(5x-7)/(7x+9) ?

The inverse of f(x)=(5x-7)/(7x+9) is (-7-9x)/(7x-5)

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inverse of f(x)=(5x-7)/(7x+9)

inverse

f (x) = \frac{5 x - 7}{7 x + 9}

\frac{- 7 - 9 x}{7 x - 5}

Solution steps

y = \frac{5 x - 7}{7 x + 9}

Replace

x

with

y

x = \frac{5 y - 7}{7 y + 9}

Solve for

y, x = \frac{5 y - 7}{7 y + 9}

\frac{- 7 - 9 x}{7 x - 5}

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

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

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

x^{4} - 2 x^{2} + 3

f (x) = 2 x + 5

What is the inverse of f(x)=(5x-7)/(7x+9) ?
The inverse of f(x)=(5x-7)/(7x+9) is (-7-9x)/(7x-5)