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Popular >

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

Solution

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

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

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

Inflection Points : (\frac{π}{4} + πn, \frac{1}{2})

+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)

Solution steps

Periodicity of

\frac{tan ( x )}{1 + tan ( x )} : π

Domain of

\frac{tan ( x )}{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

Axis interception points of

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

X Intercepts

: (πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Vertical

: x = \frac{3 π}{4} + πn

Inflection Points of

\frac{tan ( x )}{1 + tan ( x )} : (\frac{π}{4} + πn, \frac{1}{2})

Popular Examples

f(x)=x^{(2/3)}+0.85*(4-x^2)^{(1/2)}*sin(a*pi*x)

f (x) = x^{(\frac{2}{3})} + 0.85 \cdot (4 - x^{2})^{(\frac{1}{2})} \cdot sin (a \cdot π \cdot x)

f(x)= x/(x^2-3x+2)

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

y=sqrt(7-x),1<= x<= 7

y = 7 - x, 1 \leq x \leq 7

f(x)=(-x^2)/(12+2x+10)

f (x) = \frac{- x ^{2}}{12 + 2 x + 10}

f (x) = 3 x^{2} + x - 4

Frequently Asked Questions (FAQ)

What is the f(x)=(tan(x))/(1+tan(x)) ?
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