What is the periodicity of f(x)=-6sin(3pix+4)-2 ?

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

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periodicity of f(x)=-6sin(3pix+4)-2

periodicity

f (x) = - 6 sin (3 π x + 4) - 2

\frac{2}{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 π ∣}

Simplify

= \frac{2}{3}

f (x) = 6 x^{2} + 6 x - 1

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

f (x) = 11 - x

\frac{x ^{2} + 5 x + 6}{- 3 x - 6}

f (x) = x^{2} - 3 x - 10

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