What is the range of arcsec(x) ?

The range of arcsec(x) is -pi<f(x)<=-pi/2 \lor 0<f(x)< pi/2

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range of arcsec(x)

range

arcsec (x)

- π < f (x) \leq - \frac{π}{2} or 0 < f (x) < \frac{π}{2}

Interval Notation

(- π, - \frac{π}{2}] \cup (0, \frac{π}{2})

Solution steps

The range of the basic

arcsec

function is

- π < arcsec (x) \leq - \frac{π}{2} or 0 < arcsec (x) < \frac{π}{2}

- π < arcsec (x) \leq - \frac{π}{2} or 0 < arcsec (x) < \frac{π}{2}

Therefore the range is

- π < f (x) \leq - \frac{π}{2} or 0 < f (x) < \frac{π}{2}

x^{3} - 3 x^{2} - 9 x

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

\frac{1}{x + 7}

f (x) = \frac{7 x}{x ^{2} + 49}

f (x) = \frac{x - 1}{x ^{2} - 9}

What is the range of arcsec(x) ?
The range of arcsec(x) is -pi<f(x)<=-pi/2 \lor 0<f(x)< pi/2