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

The inverse of f(x)= 5/(4x-6)+5 is (6x-25)/(4(-5+x))

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inverse of f(x)= 5/(4x-6)+5

inverse

f (x) = \frac{5}{4 x - 6} + 5

\frac{6 x - 25}{4 ( - 5 + x )}

Solution steps

y = \frac{5}{4 x - 6} + 5

Replace

x

with

y

x = \frac{5}{4 y - 6} + 5

Solve for

y, x = \frac{5}{4 y - 6} + 5

\frac{6 x - 25}{4 ( - 5 + x )}

g (s) = [\frac{25}{s ^{2}} (s^{2} + 4 s + 5)]

f (x) = \frac{1}{3 x ^{8}}

3 - ln (x + 2)

y = - lo g_{2} (3 (x - 2)) + 4

What is the inverse of f(x)= 5/(4x-6)+5 ?
The inverse of f(x)= 5/(4x-6)+5 is (6x-25)/(4(-5+x))