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}

\frac{1}{x ^{2}} + \frac{1}{x + 1} + 1 - x

m = \frac{6}{7}, (- 6, - 2)

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

(8, - 2), (- 10, - 2)

f (x) = 3 x^{3} - x^{2} + 1

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)