What is the inverse of f(x)=((5x-8))/(3x+1) ?

The inverse of f(x)=((5x-8))/(3x+1) is (-8-x)/(3x-5)

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inverse of f(x)=((5x-8))/(3x+1)

inverse

f (x) = \frac{( 5 x - 8 )}{3 x + 1}

\frac{- 8 - x}{3 x - 5}

Solution steps

y = \frac{5 x - 8}{3 x + 1}

Replace

x

with

y

x = \frac{5 y - 8}{3 y + 1}

Solve for

y, x = \frac{5 y - 8}{3 y + 1}

\frac{- 8 - x}{3 x - 5}

5^{x} - 8

5^{x} - 9

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

5^{x} + 7

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

What is the inverse of f(x)=((5x-8))/(3x+1) ?
The inverse of f(x)=((5x-8))/(3x+1) is (-8-x)/(3x-5)