What is the inverse of f(x)=(-2x+7)/(6x-10) ?

The inverse of f(x)=(-2x+7)/(6x-10) is (7+10x)/(2(1+3x))

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inverse of f(x)=(-2x+7)/(6x-10)

inverse

f (x) = \frac{- 2 x + 7}{6 x - 10}

\frac{7 + 10 x}{2 ( 1 + 3 x )}

Solution steps

y = \frac{- 2 x + 7}{6 x - 10}

Replace

x

with

y

x = \frac{- 2 y + 7}{6 y - 10}

Solve for

y, x = \frac{- 2 y + 7}{6 y - 10}

\frac{7 + 10 x}{2 ( 1 + 3 x )}

f (x) = 10 - 6 x^{3}

f (x) = 4 - \frac{2 x}{3}

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

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

f (x) = 7 e^{2 x}

What is the inverse of f(x)=(-2x+7)/(6x-10) ?
The inverse of f(x)=(-2x+7)/(6x-10) is (7+10x)/(2(1+3x))