What is the periodicity of f(x)=6sin(3x-pi) ?

The periodicity of f(x)=6sin(3x-pi) is (2pi)/3

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periodicity of f(x)=6sin(3x-pi)

periodicity

f (x) = 6 sin (3 x - π)

\frac{2 π}{3}

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}{∣ 3 ∣}

Simplify

= \frac{2 π}{3}

f (x) = (10 - 4 e^{- x})

10 + 8 csc (\frac{π}{3} x + \frac{π}{4})

\frac{1}{x - 8}

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

\frac{4}{3 - x}

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