What is the periodicity of f(x)=3tan(2/3 x) ?

The periodicity of f(x)=3tan(2/3 x) is (3pi)/2

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periodicity of f(x)=3tan(2/3 x)

periodicity

f (x) = 3 tan (\frac{2}{3} x)

\frac{3 π}{2}

Solution steps

Periodicity of

a \cdot tan (b x + c) + d = \frac{periodicity of tan ( x )}{∣ b ∣}

Periodicity of

tan (x)

π

= \frac{π}{\frac{2}{3}}

Simplify

= \frac{3 π}{2}

f (x) = 3 x^{3} - 8

f (x) = \frac{( x - 7 )}{( x + 3 )}

f (x) = \frac{- 16 + n}{4}

f (x) = - x - 7

What is the periodicity of f(x)=3tan(2/3 x) ?
The periodicity of f(x)=3tan(2/3 x) is (3pi)/2