What is the inverse of f(x)=((x+4))/(x+8) ?

The inverse of f(x)=((x+4))/(x+8) is (4-8x)/(x-1)

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inverse of f(x)=((x+4))/(x+8)

inverse

f (x) = \frac{( x + 4 )}{x + 8}

\frac{4 - 8 x}{x - 1}

Solution steps

y = \frac{x + 4}{x + 8}

Replace

x

with

y

x = \frac{y + 4}{y + 8}

Solve for

y, x = \frac{y + 4}{y + 8}

\frac{4 - 8 x}{x - 1}

f (x) = \frac{( 4 - 3 x )}{4 x - 2}

g (x) = 6^{x}

f (x) = 1 - lo g_{3} (x + 1)

f (x) = \frac{7 - x}{5}

- 1 + 4 x

What is the inverse of f(x)=((x+4))/(x+8) ?
The inverse of f(x)=((x+4))/(x+8) is (4-8x)/(x-1)