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Popular >

f(x)= 1/(tan(x-5))

Solution

f (x) = \frac{1}{tan ( x - 5 )}

Solution

Period : π

Domain : πn \leq x < \frac{- 3 π + 10}{2} + πn or \frac{- 3 π + 10}{2} + πn < x < 5 - π + πn or 5 - π + πn < x < π + πn

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

Y Intercepts : (0, \frac{1}{tan ( 0 - 5 )})

Asymptotes : Vertical x = 5 - π + πn

Extreme Points : None

+1

Interval Notation

Domain : [πn, \frac{- 3 π + 10}{2} + πn) \cup (\frac{- 3 π + 10}{2} + πn, 5 - π + πn) \cup (5 - π + πn, π + πn)

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

Solution steps

Periodicity of

\frac{1}{tan ( x - 5 )} : π

Domain of

\frac{1}{tan ( x - 5 )} : πn \leq x < \frac{- 3 π + 10}{2} + πn or \frac{- 3 π + 10}{2} + πn < x < 5 - π + πn or 5 - π + πn < x < π + πn

Range of

\frac{1}{tan ( x - 5 )} : f (x) < 0 or f (x) > 0

Axis interception points of

\frac{1}{tan ( x - 5 )} :

Y Intercepts

: (0, \frac{1}{tan ( 0 - 5 )})

Asymptotes of

\frac{1}{tan ( x - 5 )} :

Vertical

: x = 5 - π + πn

Extreme Points of

\frac{1}{tan ( x - 5 )} :

None

Popular Examples

f(x)=arcsec(x)-9x

f (x) = arcsec (x) - 9 x

f(x)=-(2x+3)(4x-5)

f (x) = - (2 x + 3) (4 x - 5)

f(x)=3x^4-2x^3+4x^2-5x+8

f (x) = 3 x^{4} - 2 x^{3} + 4 x^{2} - 5 x + 8

f(x)=(13)/(18x)

f (x) = \frac{13}{18 x}

f(x)=-2.5x^2-15x+8.7

f (x) = - 2.5 x^{2} - 15 x + 8.7

Frequently Asked Questions (FAQ)

What is the f(x)= 1/(tan(x-5)) ?
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