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

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

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

inverse

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

\frac{5 - 4 x}{x - 4}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{5 - 4 x}{x - 4}

f (x) = {(- 5, 1), (4, 1)}

m = 1, (- 5, 1)

f (x) = \frac{- 5 + 6 x}{5}

f (x) = 2 x + 2 + 6 - 4 x

y = 12 x - 3

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