What is the domain of f(x)=arccosh(x) ?

The domain of f(x)=arccosh(x) is x>= 1

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domain of f(x)=arccosh(x)

domain

f (x) = arccosh (x)

x \geq 1

Interval Notation

[1, \infty)

Solution steps

Find known functions domain restrictions:

x \geq 1

The function domain

x \geq 1

\frac{x ^{2} + 1}{x ^{2} - x + 1}

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

x (1 - x^{2})^{2}

\frac{6 x ^{2}}{x ^{2} - 9}

y = \frac{- 2 ( x - 8 )}{8 - x}