What is the f(x)=arctan(-6x) ?

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f(x)=arctan(-6x)

f (x) = arctan (- 6 x)

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), Y Intercepts : (0, 0)

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

Interval Notation

Domain : (- \infty, \infty)

Range : (- \frac{π}{2}, \frac{π}{2})

Solution steps

Domain of

arctan (- 6 x) : - \infty < x < \infty

Range of

arctan (- 6 x) : - \frac{π}{2} < f (x) < \frac{π}{2}

Axis interception points of

arctan (- 6 x) :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

arctan (- 6 x) :

Horizontal

: y = - \frac{π}{2}, y = \frac{π}{2}

x \to 2 lim (8 - 2 x)

x \to - 4 + lim (\frac{1}{x ^{2} - 16})

\int \frac{1}{( 16 - x ^{2} ) ^{\frac{3}{2}}} d x

\int e^{\frac{x}{n}} d x

f (x) = \frac{1}{( 3 x ^{2} - 1 ) ^{2}}