What is the inverse of f(x)=(7+3x)/(5x+6) ?

The inverse of f(x)=(7+3x)/(5x+6) is (7-6x)/(5x-3)

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inverse of f(x)=(7+3x)/(5x+6)

inverse

f (x) = \frac{7 + 3 x}{5 x + 6}

\frac{7 - 6 x}{5 x - 3}

Solution steps

y = \frac{7 + 3 x}{5 x + 6}

Replace

x

with

y

x = \frac{7 + 3 y}{5 y + 6}

Solve for

y, x = \frac{7 + 3 y}{5 y + 6}

\frac{7 - 6 x}{5 x - 3}

sin (6 x)

f (x) = 3 x^{2} - 9

f (x) = \frac{3 x + 8}{4 x + 5}

4 x + 12

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

What is the inverse of f(x)=(7+3x)/(5x+6) ?
The inverse of f(x)=(7+3x)/(5x+6) is (7-6x)/(5x-3)