What is the inverse of f(x)=(-3x+9)/(x+7) ?

The inverse of f(x)=(-3x+9)/(x+7) is (9-7x)/(x+3)

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inverse of f(x)=(-3x+9)/(x+7)

inverse

f (x) = \frac{- 3 x + 9}{x + 7}

\frac{9 - 7 x}{x + 3}

Solution steps

y = \frac{- 3 x + 9}{x + 7}

Replace

x

with

y

x = \frac{- 3 y + 9}{y + 7}

Solve for

y, x = \frac{- 3 y + 9}{y + 7}

\frac{9 - 7 x}{x + 3}

f (x) = - 5 x^{5} + 3

f (x) = 1650 - 150 y

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

f (x) = \frac{x ^{2} - 8 x + 12}{12}

f (x) = x^{2} - 5 x - 8

What is the inverse of f(x)=(-3x+9)/(x+7) ?
The inverse of f(x)=(-3x+9)/(x+7) is (9-7x)/(x+3)