What is the inverse of f(x)=((-5x+8))/(6x-10) ?

The inverse of f(x)=((-5x+8))/(6x-10) is (8+10x)/(6x+5)

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inverse of f(x)=((-5x+8))/(6x-10)

inverse

f (x) = \frac{( - 5 x + 8 )}{6 x - 10}

\frac{8 + 10 x}{6 x + 5}

Solution steps

y = \frac{- 5 x + 8}{6 x - 10}

Replace

x

with

y

x = \frac{- 5 y + 8}{6 y - 10}

Solve for

y, x = \frac{- 5 y + 8}{6 y - 10}

\frac{8 + 10 x}{6 x + 5}

What is the inverse of f(x)=((-5x+8))/(6x-10) ?
The inverse of f(x)=((-5x+8))/(6x-10) is (8+10x)/(6x+5)