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}

f (x) = \frac{x - 10}{5 x}

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

f (x) = \frac{5 ( x - 32 )}{9}

f (x) = \frac{2 x - 3}{5 x - 7}

f (x) = \frac{9}{5} lo g_{4} (x)

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)