What is the inverse of f(x)=((7+2x))/(9-5x) ?

The inverse of f(x)=((7+2x))/(9-5x) is -(7-9x)/(2+5x)

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inverse of f(x)=((7+2x))/(9-5x)

inverse

f (x) = \frac{( 7 + 2 x )}{9 - 5 x}

- \frac{7 - 9 x}{2 + 5 x}

Solution steps

y = \frac{7 + 2 x}{9 - 5 x}

Replace

x

with

y

x = \frac{7 + 2 y}{9 - 5 y}

Solve for

y, x = \frac{7 + 2 y}{9 - 5 y}

- \frac{7 - 9 x}{2 + 5 x}

10 + 4 x - 4

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

f (x) = 6 - 7 + 7 - 9

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

\frac{s - 2 - 2}{( s - 2 ) ^{2}}

What is the inverse of f(x)=((7+2x))/(9-5x) ?
The inverse of f(x)=((7+2x))/(9-5x) is -(7-9x)/(2+5x)