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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = 3 x - 1

sin (9 x)

y = - x + 11

(- 2.8) (2.2)

y = x^{2} + 4 x + 4

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