What is the inverse of f(x)=(x+10)/(x+6) ?

The inverse of f(x)=(x+10)/(x+6) is (10-6x)/(x-1)

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inverse of f(x)=(x+10)/(x+6)

inverse

f (x) = \frac{x + 10}{x + 6}

\frac{10 - 6 x}{x - 1}

Solution steps

y = \frac{x + 10}{x + 6}

Replace

x

with

y

x = \frac{y + 10}{y + 6}

Solve for

y, x = \frac{y + 10}{y + 6}

\frac{10 - 6 x}{x - 1}

f (x) = \frac{1}{\frac{y}{2} - 2}

f (x) = 5 - x^{3} x - 4

tan (654 6^{\circ})

9 - 8 x

\frac{( 1 )}{( x - 2 )} + 3, x > 2

What is the inverse of f(x)=(x+10)/(x+6) ?
The inverse of f(x)=(x+10)/(x+6) is (10-6x)/(x-1)