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) = \frac{x}{( x ^{2} + 14 x + 45 )}

5 x + 7 y = 8, (5, - 2)

(\frac{1}{2})^{x + 3}

f (x) = cos (4 π x + π)

21 x - 20

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)