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

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

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periodicity of f(x)=4cos(1/3 pix-pi)-3

periodicity

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

6

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{π}{3}}

Simplify

= 6

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

f (x) = x - 1 + 6

6 x + 4 y = 3

f (x) = 2 x^{3} + 24 x^{2} + 72 x

2 x + 2

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