What is the periodicity of f(x)= 9/2 cos((pix)/4) ?

The periodicity of f(x)= 9/2 cos((pix)/4) is 8

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periodicity of f(x)= 9/2 cos((pix)/4)

periodicity

f (x) = \frac{9}{2} cos (\frac{π x}{4})

8

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}{4}}

Simplify

= 8

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

f (x) = 9 x - 2

f (x) = - 8 x^{3} + 24 x + 7

f (x) = 5 2 (x^{3} + 3)

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

What is the periodicity of f(x)= 9/2 cos((pix)/4) ?
The periodicity of f(x)= 9/2 cos((pix)/4) is 8