What is the inverse of f(x)=(5+x)/(4-2x) ?

The inverse of f(x)=(5+x)/(4-2x) is -(5-4x)/(1+2x)

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inverse of f(x)=(5+x)/(4-2x)

inverse

f (x) = \frac{5 + x}{4 - 2 x}

- \frac{5 - 4 x}{1 + 2 x}

Solution steps

y = \frac{5 + x}{4 - 2 x}

Replace

x

with

y

x = \frac{5 + y}{4 - 2 y}

Solve for

y, x = \frac{5 + y}{4 - 2 y}

- \frac{5 - 4 x}{1 + 2 x}

f (x) = x^{2} - x - 3

\frac{x - 2}{3 x + 7}

f (x) = - 9 x + 2

4 (x - 3) = 3 y + 4

y = 36 - x^{2} y = 8 - x

What is the inverse of f(x)=(5+x)/(4-2x) ?
The inverse of f(x)=(5+x)/(4-2x) is -(5-4x)/(1+2x)