What is the inverse of f(x)=(-10x+1)/(9x+6) ?

The inverse of f(x)=(-10x+1)/(9x+6) is (1-6x)/(9x+10)

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inverse of f(x)=(-10x+1)/(9x+6)

inverse

f (x) = \frac{- 10 x + 1}{9 x + 6}

\frac{1 - 6 x}{9 x + 10}

Solution steps

y = \frac{- 10 x + 1}{9 x + 6}

Replace

x

with

y

x = \frac{- 10 y + 1}{9 y + 6}

Solve for

y, x = \frac{- 10 y + 1}{9 y + 6}

\frac{1 - 6 x}{9 x + 10}

y = 5 (0.5)^{- x}

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

f (x) = 1 x + 5

2 x^{2} - 4 x - 6

4 x

What is the inverse of f(x)=(-10x+1)/(9x+6) ?
The inverse of f(x)=(-10x+1)/(9x+6) is (1-6x)/(9x+10)