What is the inverse of y=f(x)=(2-5x)/(6-6x) ?

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

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inverse of y=f(x)=(2-5x)/(6-6x)

inverse

y = f (x) = \frac{2 - 5 x}{6 - 6 x}

\frac{2 - 6 x}{- 6 x + 5}

Solution steps

y = \frac{2 - 5 x}{6 - 6 x}

Replace

x

with

y

x = \frac{2 - 5 y}{6 - 6 y}

Solve for

y, x = \frac{2 - 5 y}{6 - 6 y}

\frac{2 - 6 x}{- 6 x + 5}

f (x) = 6 x

\frac{2 x}{x ^{2} + 2 x}

\frac{6}{\frac{x}{x + 6}}

x^{2} - 2 x + 3

x^{2} - 4 x + 4

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