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

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

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

inverse

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

\frac{2 - 4 x}{x - 4}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{2 - 4 x}{x - 4}

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

f (x) = x - 3 + 5

y = \frac{x ^{3}}{90}

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

f (x) = \frac{5 x - 14}{9}

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