What is the f(x)=arcsec(6x) ?

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f(x)=arcsec(6x)

f (x) = arcsec (6 x)

Domain : x \leq - \frac{1}{6} or x \geq \frac{1}{6}

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

X Intercepts : (\frac{1}{6}, 0)

Asymptotes : Horizontal y = \frac{π}{2}

Interval Notation

Domain : (- \infty, - \frac{1}{6}] \cup [\frac{1}{6}, \infty)

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

Solution steps

Domain of

arcsec (6 x) : x \leq - \frac{1}{6} or x \geq \frac{1}{6}

Range of

arcsec (6 x) : - π < f (x) \leq - \frac{π}{2} or 0 < f (x) < \frac{π}{2}

Axis interception points of

arcsec (6 x) :

X Intercepts

: (\frac{1}{6}, 0)

Asymptotes of

arcsec (6 x) :

Horizontal

: y = \frac{π}{2}

\int \frac{3}{1 - 2 x} d x

e^{x^{5}}, 0

x \to 1 lim (x^{2} - 4)

\int \frac{3 e ^{2 x}}{e ^{2 x} + 9 e ^{x} + 18} d x

x \to 0 lim ((1 - 2 x)^{\frac{1}{x}})