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

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

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

inverse

f (x) = \frac{2 ( x + 1 )}{4 - x}

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

Solution steps

y = \frac{2 ( x + 1 )}{4 - x}

Replace

x

with

y

x = \frac{2 ( y + 1 )}{4 - y}

Solve for

y, x = \frac{2 ( y + 1 )}{4 - y}

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

g (x) = \frac{5 x - 1}{4 x + 7}

f (x) = \frac{( x - 2000 )}{100}

f (x) = arcsin (3 x - 1)

f (x) = \frac{2 x + 1}{x - 1}, x \neq = 1

f (x) = \frac{1}{7} x - 7

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