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

The inverse of f(x)=(3x+3)/(3x-7) is (3+7x)/(3(-1+x))

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inverse of f(x)=(3x+3)/(3x-7)

inverse

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

\frac{3 + 7 x}{3 ( - 1 + x )}

Solution steps

y = \frac{3 x + 3}{3 x - 7}

Replace

x

with

y

x = \frac{3 y + 3}{3 y - 7}

Solve for

y, x = \frac{3 y + 3}{3 y - 7}

\frac{3 + 7 x}{3 ( - 1 + x )}

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

f (x) = \frac{x - 2}{x + 4}

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

f (x) = 3^{x - 2} + 4

What is the inverse of f(x)=(3x+3)/(3x-7) ?
The inverse of f(x)=(3x+3)/(3x-7) is (3+7x)/(3(-1+x))