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

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

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inverse of f(x)=(5x+2)/(2x-2)

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = 9 (- 8 x + 8)^{2} + 10

y = 2.5 x + 5.5

f (x) = f (x) = x - 2

f (x) = f (x) = x - 3

f (x) = \frac{8 x + 7}{x - 4}

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