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Popular >

f(x)=arctan(2x+3)

Solution

f (x) = arctan (2 x + 3)

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- \frac{3}{2}, 0), Y Intercepts : (0, arctan (3))

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

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Solution steps

Domain of

arctan (2 x + 3) : - \infty < x < \infty

Range of

arctan (2 x + 3) : - \frac{π}{2} < f (x) < \frac{π}{2}

Axis interception points of

arctan (2 x + 3) :

X Intercepts

: (- \frac{3}{2}, 0),

Y Intercepts

: (0, arctan (3))

Asymptotes of

arctan (2 x + 3) :

Horizontal

: y = \frac{π}{2}, y = - \frac{π}{2}

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Frequently Asked Questions (FAQ)

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