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

The periodicity of f(x)=-1+3cos(3/2 x) is (4pi)/3

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periodicity of f(x)=-1+3cos(3/2 x)

periodicity

f (x) = - 1 + 3 cos (\frac{3}{2} x)

\frac{4 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}{\frac{3}{2}}

Simplify

= \frac{4 π}{3}

f (x) = - x^{3} - 3 x

f (x) = 8 x - 5

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

\frac{9}{5} C + 32

x + 3

What is the periodicity of f(x)=-1+3cos(3/2 x) ?
The periodicity of f(x)=-1+3cos(3/2 x) is (4pi)/3