What is the inverse of f(x)=((6-7x))/((8-5x)) ?

The inverse of f(x)=((6-7x))/((8-5x)) is (6-8x)/(-5x+7)

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inverse of f(x)=((6-7x))/((8-5x))

inverse

f (x) = \frac{( 6 - 7 x )}{( 8 - 5 x )}

\frac{6 - 8 x}{- 5 x + 7}

Solution steps

y = \frac{6 - 7 x}{8 - 5 x}

Replace

x

with

y

x = \frac{6 - 7 y}{8 - 5 y}

Solve for

y, x = \frac{6 - 7 y}{8 - 5 y}

\frac{6 - 8 x}{- 5 x + 7}

x (x + 1)

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

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

y = 2 (x - 2)

y = - 18

What is the inverse of f(x)=((6-7x))/((8-5x)) ?
The inverse of f(x)=((6-7x))/((8-5x)) is (6-8x)/(-5x+7)