What is the periodicity of f(x)=6sin((4pi)/3 x)+1 ?

The periodicity of f(x)=6sin((4pi)/3 x)+1 is 3/2

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periodicity of f(x)=6sin((4pi)/3 x)+1

periodicity

f (x) = 6 sin (\frac{4 π}{3} x) + 1

\frac{3}{2}

Solution steps

Periodicity of

a \cdot sin (b x + c) + d = \frac{periodicity of sin ( x )}{∣ b ∣}

Periodicity of

sin (x)

2 π

= \frac{2 π}{\frac{4 π}{3}}

Simplify

= \frac{3}{2}

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

f (x) = (x + 8)^{2}

f (x) = lo g_{5} (x + 3)

3 x - 5 y = 8

\frac{x}{x + 4}

What is the periodicity of f(x)=6sin((4pi)/3 x)+1 ?
The periodicity of f(x)=6sin((4pi)/3 x)+1 is 3/2