What is the inverse of f(x)=(6x+5)/(8x+6) ?

The inverse of f(x)=(6x+5)/(8x+6) is (5-6x)/(2(-3+4x))

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inverse of f(x)=(6x+5)/(8x+6)

inverse

f (x) = \frac{6 x + 5}{8 x + 6}

\frac{5 - 6 x}{2 ( - 3 + 4 x )}

Solution steps

y = \frac{6 x + 5}{8 x + 6}

Replace

x

with

y

x = \frac{6 y + 5}{8 y + 6}

Solve for

y, x = \frac{6 y + 5}{8 y + 6}

\frac{5 - 6 x}{2 ( - 3 + 4 x )}

f (x) = lo g_{2} (2 x - 1)

f (x) = \frac{3 x - 5}{4 x + 1}

f (x) = \frac{2 x}{3 x - 8}

3 x^{3} - 7

3 x^{3} + 6

What is the inverse of f(x)=(6x+5)/(8x+6) ?
The inverse of f(x)=(6x+5)/(8x+6) is (5-6x)/(2(-3+4x))