What is the f(x)=(cos(x)-sin(x))/(cos(x)+sin(x)) ?

The f(x)=(cos(x)-sin(x))/(cos(x)+sin(x)) is

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f(x)=(cos(x)-sin(x))/(cos(x)+sin(x))

f (x) = \frac{cos ( x ) - sin ( x )}{cos ( x ) + sin ( x )}

Period : π

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

X Intercepts : (\frac{π}{4} + πn, 0), Y Intercepts : (0, 1)

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

Inflection Points : (\frac{π}{4} + πn, 0)

Interval Notation

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

Solution steps

Periodicity of

\frac{cos ( x ) - sin ( x )}{cos ( x ) + sin ( x )} : π

Domain of

\frac{cos ( x ) - sin ( x )}{cos ( x ) + sin ( x )} : πn \leq x < \frac{3 π}{4} + πn or \frac{3 π}{4} + πn < x < π + πn

Axis interception points of

\frac{cos ( x ) - sin ( x )}{cos ( x ) + sin ( x )} :

X Intercepts

: (\frac{π}{4} + πn, 0),

Y Intercepts

: (0, 1)

Asymptotes of

\frac{cos ( x ) - sin ( x )}{cos ( x ) + sin ( x )} :

Vertical

: x = \frac{3 π}{4} + πn

Inflection Points of

\frac{cos ( x ) - sin ( x )}{cos ( x ) + sin ( x )} : (\frac{π}{4} + πn, 0)

y = \frac{1}{x ^{2} - 9}

y = \frac{x ^{2} - 1}{x ^{2} - 4}

y = x^{2} - 12 x + 46

y = x^{3} + 2 x^{2} - x - 2

f (m) = m^{2} + 1

What is the f(x)=(cos(x)-sin(x))/(cos(x)+sin(x)) ?
The f(x)=(cos(x)-sin(x))/(cos(x)+sin(x)) is