What is the inverse of f(x)=(3x+4)/(2x+2) ?

The inverse of f(x)=(3x+4)/(2x+2) is (4-2x)/(2x-3)

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inverse of f(x)=(3x+4)/(2x+2)

inverse

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

\frac{4 - 2 x}{2 x - 3}

Solution steps

y = \frac{3 x + 4}{2 x + 2}

Replace

x

with

y

x = \frac{3 y + 4}{2 y + 2}

Solve for

y, x = \frac{3 y + 4}{2 y + 2}

\frac{4 - 2 x}{2 x - 3}

(1.6) (- 5.2)

- 2 tan (θ + \frac{π}{4}) - 1

f (x) = 2 + x + 3

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

f (x) = \frac{x}{32}

What is the inverse of f(x)=(3x+4)/(2x+2) ?
The inverse of f(x)=(3x+4)/(2x+2) is (4-2x)/(2x-3)