What is the inverse of f(x)=(2x+6)/(5x+9) ?

The inverse of f(x)=(2x+6)/(5x+9) is (6-9x)/(5x-2)

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inverse of f(x)=(2x+6)/(5x+9)

inverse

f (x) = \frac{2 x + 6}{5 x + 9}

\frac{6 - 9 x}{5 x - 2}

Solution steps

y = \frac{2 x + 6}{5 x + 9}

Replace

x

with

y

x = \frac{2 y + 6}{5 y + 9}

Solve for

y, x = \frac{2 y + 6}{5 y + 9}

\frac{6 - 9 x}{5 x - 2}

5 ln (y) = x - c

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

f (t) = 10 ln (40 t - 1200)

f (x) = (x - 1) 3

tan (x^{2})

What is the inverse of f(x)=(2x+6)/(5x+9) ?
The inverse of f(x)=(2x+6)/(5x+9) is (6-9x)/(5x-2)