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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = arccsc (x)

f (x) = - 3259

(x + 7)^{3} - 2

(- 1, - 1), (1, 6)

f (x) = e^{x + 1}

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