What is the periodicity of f(x)=4-3sin(2/5 (x+1)) ?

The periodicity of f(x)=4-3sin(2/5 (x+1)) is 5pi

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periodicity of f(x)=4-3sin(2/5 (x+1))

periodicity

f (x) = 4 - 3 sin (\frac{2}{5} (x + 1))

5 π

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{2}{5}}

Simplify

= 5 π

f (x) = 4 x - 5

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

(- 2.4) (10.13)

sin (7 x)

x^{2} - 5

What is the periodicity of f(x)=4-3sin(2/5 (x+1)) ?
The periodicity of f(x)=4-3sin(2/5 (x+1)) is 5pi