What is the inverse of f(x)=(7x-2)/(x+9) ?

The inverse of f(x)=(7x-2)/(x+9) is (-2-9x)/(x-7)

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inverse of f(x)=(7x-2)/(x+9)

inverse

f (x) = \frac{7 x - 2}{x + 9}

\frac{- 2 - 9 x}{x - 7}

Solution steps

y = \frac{7 x - 2}{x + 9}

Replace

x

with

y

x = \frac{7 y - 2}{y + 9}

Solve for

y, x = \frac{7 y - 2}{y + 9}

\frac{- 2 - 9 x}{x - 7}

f (x) = ∣ x ∣ - 3

4 x - x^{2} + 12

f (x) = \frac{x ^{2} + x}{x ^{2} - 7}

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

y = 5 x^{2} - 20

What is the inverse of f(x)=(7x-2)/(x+9) ?
The inverse of f(x)=(7x-2)/(x+9) is (-2-9x)/(x-7)