What is the periodicity of f(x)=4tan((4pi)/3 x) ?

The periodicity of f(x)=4tan((4pi)/3 x) is 3/4

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periodicity of f(x)=4tan((4pi)/3 x)

periodicity

f (x) = 4 tan (\frac{4 π}{3} x)

\frac{3}{4}

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{4 π}{3}}

Simplify

= \frac{3}{4}

- 6 lo g_{2} (x)

f (x) = \frac{x ^{3}}{x ^{2} - 9}

- x^{2} + 5 x - 4

f (x) = \frac{6}{( x ^{2} - 9 )}, x > 3

f (x) = \frac{x ^{2} - 4}{x + 1}

What is the periodicity of f(x)=4tan((4pi)/3 x) ?
The periodicity of f(x)=4tan((4pi)/3 x) is 3/4