What is the inverse of f(x)=(2x+3)/(5x+6) ?

The inverse of f(x)=(2x+3)/(5x+6) is (3-6x)/(5x-2)

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inverse of f(x)=(2x+3)/(5x+6)

inverse

f (x) = \frac{2 x + 3}{5 x + 6}

\frac{3 - 6 x}{5 x - 2}

Solution steps

y = \frac{2 x + 3}{5 x + 6}

Replace

x

with

y

x = \frac{2 y + 3}{5 y + 6}

Solve for

y, x = \frac{2 y + 3}{5 y + 6}

\frac{3 - 6 x}{5 x - 2}

7 \cdot lo g_{3} (x - 3)

f (x) = e^{3} - 2

f (x) = \frac{1}{2} x + \frac{1}{8} x^{2}

5 sin (x) + 4

arcsec (\frac{1}{3} x)

What is the inverse of f(x)=(2x+3)/(5x+6) ?
The inverse of f(x)=(2x+3)/(5x+6) is (3-6x)/(5x-2)