What is the domain of f(x)=arcsec(10x) ?

The domain of f(x)=arcsec(10x) is x = 1/10

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domain of f(x)=arcsec(10x)

domain

f (x) = arcsec (10 x)

x \leq - \frac{1}{10} or x \geq \frac{1}{10}

Interval Notation

(- \infty, - \frac{1}{10}] \cup [\frac{1}{10}, \infty)

Solution steps

Find known functions domain restrictions:

x \leq - \frac{1}{10} or x \geq \frac{1}{10}

The function domain

x \leq - \frac{1}{10} or x \geq \frac{1}{10}

What is the domain of f(x)=arcsec(10x) ?
The domain of f(x)=arcsec(10x) is x<=-1/10 \lor x>= 1/10