What is the periodicity of f(x)= 4/3-2cos(2+1/3 x) ?

The periodicity of f(x)= 4/3-2cos(2+1/3 x) is 6pi

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periodicity of f(x)= 4/3-2cos(2+1/3 x)

periodicity

f (x) = \frac{4}{3} - 2 cos (2 + \frac{1}{3} x)

6 π

Solution steps

Periodicity of

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

Periodicity of

cos (x)

2 π

= \frac{2 π}{\frac{1}{3}}

Simplify

= 6 π

\frac{x}{2 x + 1}

f (x) = - 2 49 x + 49

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

f (x) = 2 - 5 x

y = - 5 + 4 x

What is the periodicity of f(x)= 4/3-2cos(2+1/3 x) ?
The periodicity of f(x)= 4/3-2cos(2+1/3 x) is 6pi