What is the inverse of f(x)=((7-4x))/(5x+9) ?

The inverse of f(x)=((7-4x))/(5x+9) is (7-9x)/(5x+4)

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inverse of f(x)=((7-4x))/(5x+9)

inverse

f (x) = \frac{( 7 - 4 x )}{5 x + 9}

\frac{7 - 9 x}{5 x + 4}

Solution steps

y = \frac{7 - 4 x}{5 x + 9}

Replace

x

with

y

x = \frac{7 - 4 y}{5 y + 9}

Solve for

y, x = \frac{7 - 4 y}{5 y + 9}

\frac{7 - 9 x}{5 x + 4}

\frac{2 x - 3}{5 x + 1}

3^{x + 1}

f (x) = 2 x - x^{2}

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

f (x) = - 3 - x - 6

What is the inverse of f(x)=((7-4x))/(5x+9) ?
The inverse of f(x)=((7-4x))/(5x+9) is (7-9x)/(5x+4)