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

The inverse of f(x)=(10x-6)/(2x-2) is (-3+x)/(x-5)

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = - \frac{3 x - 7}{x}

f (x) = \frac{5 x - 9}{x - 2}

f (x) = - 2 (x + 1)^{2} + 3

tan (\frac{5}{12})

y = lo g_{10} (x) - 5

What is the inverse of f(x)=(10x-6)/(2x-2) ?
The inverse of f(x)=(10x-6)/(2x-2) is (-3+x)/(x-5)