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Popular >

f(x)= 1/(1+tan(x))

Solution

f (x) = \frac{1}{1 + tan ( x )}

Solution

Period : π

Domain : πn \leq x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < \frac{3 π}{4} + πn or \frac{3 π}{4} + πn < x < π + πn

Range : f (x) < 0 or f (x) > 0

Y Intercepts : (0, 1)

Asymptotes : Vertical x = \frac{3 π}{4} + πn

Extreme Points : None

+1

Interval Notation

Domain : [πn, \frac{π}{2} + πn) \cup (\frac{π}{2} + πn, \frac{3 π}{4} + πn) \cup (\frac{3 π}{4} + πn, π + πn)

Range : (- \infty, 0) \cup (0, \infty)

Solution steps

Periodicity of

\frac{1}{1 + tan ( x )} : π

Domain of

\frac{1}{1 + tan ( x )} : πn \leq x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < \frac{3 π}{4} + πn or \frac{3 π}{4} + πn < x < π + πn

Range of

\frac{1}{1 + tan ( x )} : f (x) < 0 or f (x) > 0

Axis interception points of

\frac{1}{1 + tan ( x )} :

Y Intercepts

: (0, 1)

Asymptotes of

\frac{1}{1 + tan ( x )} :

Vertical

: x = \frac{3 π}{4} + πn

Extreme Points of

\frac{1}{1 + tan ( x )} :

None

Popular Examples

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f (x) = x^{2} - 12 x + 2

f (x) = x^{2} - 12 x + 1

factor 4-x^2 factor

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f (x) = x^{3} - 5 x^{2} + 9 x - 45

Frequently Asked Questions (FAQ)

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