What is the inverse of f(x)=(5x+2)/(9x-4) ?

The inverse of f(x)=(5x+2)/(9x-4) is (2+4x)/(9x-5)

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inverse of f(x)=(5x+2)/(9x-4)

inverse

f (x) = \frac{5 x + 2}{9 x - 4}

\frac{2 + 4 x}{9 x - 5}

Solution steps

y = \frac{5 x + 2}{9 x - 4}

Replace

x

with

y

x = \frac{5 y + 2}{9 y - 4}

Solve for

y, x = \frac{5 y + 2}{9 y - 4}

\frac{2 + 4 x}{9 x - 5}

\frac{6 x}{36 - x ^{2}}

lo g_{10} (x + 5)

(\frac{1}{4})^{1 - x^{2}}

f (x) = 2 x - 5 = 2

sin (0.8353)

What is the inverse of f(x)=(5x+2)/(9x-4) ?
The inverse of f(x)=(5x+2)/(9x-4) is (2+4x)/(9x-5)