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

The inverse of f(x)=(6x+7)/(3x+5) is (7-5x)/(3(-2+x))

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

inverse

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

\frac{7 - 5 x}{3 ( - 2 + x )}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{7 - 5 x}{3 ( - 2 + x )}

What is the inverse of f(x)=(6x+7)/(3x+5) ?
The inverse of f(x)=(6x+7)/(3x+5) is (7-5x)/(3(-2+x))