What is the inverse of f(x)=((x+8))/(x+6) ?

The inverse of f(x)=((x+8))/(x+6) is (8-6x)/(x-1)

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inverse of f(x)=((x+8))/(x+6)

inverse

f (x) = \frac{( x + 8 )}{x + 6}

\frac{8 - 6 x}{x - 1}

Solution steps

y = \frac{x + 8}{x + 6}

Replace

x

with

y

x = \frac{y + 8}{y + 6}

Solve for

y, x = \frac{y + 8}{y + 6}

\frac{8 - 6 x}{x - 1}

f (x) = (\frac{( x + 7 )}{3})^{2}

f (x) = x^{2} + x + 5

f (x) = 3 3 4 x - 3 + 2

f (x) = - x - 2, 2 \leq x \leq 6

(y - 1)^{2}

What is the inverse of f(x)=((x+8))/(x+6) ?
The inverse of f(x)=((x+8))/(x+6) is (8-6x)/(x-1)