What is the inverse of f(x)=(x+3)/(2x-8) ?

The inverse of f(x)=(x+3)/(2x-8) is (3+8x)/(2x-1)

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inverse of f(x)=(x+3)/(2x-8)

inverse

f (x) = \frac{x + 3}{2 x - 8}

\frac{3 + 8 x}{2 x - 1}

Solution steps

y = \frac{x + 3}{2 x - 8}

Replace

x

with

y

x = \frac{y + 3}{2 y - 8}

Solve for

y, x = \frac{y + 3}{2 y - 8}

\frac{3 + 8 x}{2 x - 1}

f (x) = - 8 x + 3

f (x) = 2 e^{x} - 1

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

\frac{1}{( y ^{2} + 1 ) ^{\frac{1}{2}}} y

g (x) = - 1 + x^{3}

What is the inverse of f(x)=(x+3)/(2x-8) ?
The inverse of f(x)=(x+3)/(2x-8) is (3+8x)/(2x-1)