What is the periodicity of f(x)= 1/5 cos(3x-pi) ?

The periodicity of f(x)= 1/5 cos(3x-pi) is (2pi)/3

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periodicity of f(x)= 1/5 cos(3x-pi)

periodicity

f (x) = \frac{1}{5} cos (3 x - π)

\frac{2 π}{3}

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}{∣ 3 ∣}

Simplify

= \frac{2 π}{3}

f (x) = \frac{9 x - 3}{x - 1}

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

f (x) = x^{3} + 4

f (x) = \frac{x ^{2}}{x - 3}

f (x) = 6 + 3

What is the periodicity of f(x)= 1/5 cos(3x-pi) ?
The periodicity of f(x)= 1/5 cos(3x-pi) is (2pi)/3