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

The periodicity of f(x)=4cos(4/3 x) is (3pi)/2

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periodicity of f(x)=4cos(4/3 x)

periodicity

f (x) = 4 cos (\frac{4}{3} x)

\frac{3 π}{2}

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{4}{3}}

Simplify

= \frac{3 π}{2}

\frac{4 x - 20}{x ^{2} - 2 x - 15}

(2.25, 0.65), (3, 1)

f (x) = 3 x + 3

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

\frac{17}{x}

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