What is the inverse of f(x)=((x+5))/((x+10)) ?

The inverse of f(x)=((x+5))/((x+10)) is (5-10x)/(x-1)

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inverse of f(x)=((x+5))/((x+10))

inverse

f (x) = \frac{( x + 5 )}{( x + 10 )}

\frac{5 - 10 x}{x - 1}

Solution steps

y = \frac{x + 5}{x + 10}

Replace

x

with

y

x = \frac{y + 5}{y + 10}

Solve for

y, x = \frac{y + 5}{y + 10}

\frac{5 - 10 x}{x - 1}

f (x) = 2 lo g_{4} (1 - x) + 1

f (x) = tan (x \cdot \frac{π}{180})

- x + 4

\frac{1}{2 x + 6}

f (x) = 4 3 x - 3

What is the inverse of f(x)=((x+5))/((x+10)) ?
The inverse of f(x)=((x+5))/((x+10)) is (5-10x)/(x-1)