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

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

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

periodicity

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

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}{∣ 2 ∣}

Simplify

= π

f (x) = x \cdot e^{- \frac{1}{x}}

y = \frac{1}{2} x - 2

f (x) = ∣ x ∣ + 1

f (x) = 3 (x - 9)

x^{2} + 1

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