What is the inverse of f(x)=(5x-15)/(3x+7) ?

The inverse of f(x)=(5x-15)/(3x+7) is (-15-7x)/(3x-5)

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inverse of f(x)=(5x-15)/(3x+7)

inverse

f (x) = \frac{5 x - 15}{3 x + 7}

\frac{- 15 - 7 x}{3 x - 5}

Solution steps

y = \frac{5 x - 15}{3 x + 7}

Replace

x

with

y

x = \frac{5 y - 15}{3 y + 7}

Solve for

y, x = \frac{5 y - 15}{3 y + 7}

\frac{- 15 - 7 x}{3 x - 5}

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

f (x) = \frac{6 x - 10}{5 x - 5}

arctan (ln (3 x))

\frac{3 x}{8 x - 1}

f (x) = \frac{x + 1}{6 x + 7}

What is the inverse of f(x)=(5x-15)/(3x+7) ?
The inverse of f(x)=(5x-15)/(3x+7) is (-15-7x)/(3x-5)