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

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

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

inverse

f (x) = \frac{5}{2 x + 4} - 1

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

Solution steps

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

Replace

x

with

y

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

Solve for

y, x = \frac{5}{2 y + 4} - 1

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

f (x) = \frac{x ^{2} + 4 x - 45}{x + 9}

f (x) = \frac{cos ( x )}{2 + sin ( x )}

(4.1) 2

25 x^{2} + 4 y^{2} + 100 x - 40 y = 400

6 x + 8

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