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

The inverse of f(x)=(x+3)/(2x-4) is (3+4x)/(2x-1)

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

inverse

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

\frac{3 + 4 x}{2 x - 1}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{3 + 4 x}{2 x - 1}

f (x) = 14 - x^{2}

(2, 3), (4, 7)

\frac{- 2 x - 9}{- 5 x + 6}

x^{4} - 4 x^{3} + 7

f (x) = 9 - x^{2}, x \geq 0

What is the inverse of f(x)=(x+3)/(2x-4) ?
The inverse of f(x)=(x+3)/(2x-4) is (3+4x)/(2x-1)