What is the inverse of f(x)=(-5x+5)/(3x+1) ?

The inverse of f(x)=(-5x+5)/(3x+1) is (5-x)/(3x+5)

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inverse of f(x)=(-5x+5)/(3x+1)

inverse

f (x) = \frac{- 5 x + 5}{3 x + 1}

\frac{5 - x}{3 x + 5}

Solution steps

y = \frac{- 5 x + 5}{3 x + 1}

Replace

x

with

y

x = \frac{- 5 y + 5}{3 y + 1}

Solve for

y, x = \frac{- 5 y + 5}{3 y + 1}

\frac{5 - x}{3 x + 5}

f (x) = \frac{x ^{2} + 3 x + 2}{x + 2}

f (x) = x^{2} - 6 x + 3

(x - 4) (\frac{x}{2} + 1)^{3}

f (x) = \frac{1}{2} x^{3}

m = - 5

What is the inverse of f(x)=(-5x+5)/(3x+1) ?
The inverse of f(x)=(-5x+5)/(3x+1) is (5-x)/(3x+5)