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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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

\frac{x}{9 x - 1}

\frac{x ^{2}}{4}

h (x) = \frac{5 x - 3}{7 - 4 x}

f (x) = 4 - x^{2} - 2 x

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