What is the period of the function g(x)=-sin(-8x-3)+5? Give an exact value. units

Identify Function and Period: Identify the basic trigonometric function and its period. The basic trigonometric function in g(x) is the sine function, sin(x), which has a period of 2π. The period of sin(Bx) is 2π/|B|, where B is the coefficient of x.Determine Coefficient of x: Determine the coefficient of x in the argument of the sine function. In the function g(x)=-sin(-8x-3), the coefficient of x is -8. We are interested in the absolute value of this coefficient to find the period.Calculate Period of g(x): Calculate the period of g(x). The period of g(x) is 2π divided by the absolute value of the coefficient of x, which is 8. So, the period P is given by P = 2π/|8| = 2π/8.Simplify Period Expression: Simplify the expression for the period. Simplifying 2π/8 gives us π/4. Therefore, the period of the function g(x) is π/4.

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What is the period of the function
g(x)=-sin(-8x-3)+5?
Give an exact value.
units

What is the period of the function $g(x)=-\sin (-8 x-3)+5 ?$ $\newline$ Give an exact value. $\newline$ units

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Q. What is the period of the function

g(x)=-\sin (-8 x-3)+5 ?

\newline

Give an exact value.

\newline

units

Identify Function and Period: Identify the basic trigonometric function and its period. $\newline$ The basic trigonometric function in $g(x)$ is the sine function, $\sin(x)$ , which has a period of $2\pi$ . The period of $\sin(Bx)$ is $\frac{2\pi}{|B|}$ , where $B$ is the coefficient of $x$ .
Determine Coefficient of $x$ : Determine the coefficient of $x$ in the argument of the sine function. $\newline$ In the function $g(x)=-\sin(-8x-3)$ , the coefficient of $x$ is $-8$ . We are interested in the absolute value of this coefficient to find the period.
Calculate Period of $g(x)$ : Calculate the period of $g(x)$ . The period of $g(x)$ is $2\pi$ divided by the absolute value of the coefficient of $x$ , which is $8$ . So, the period $P$ is given by $P = \frac{2\pi}{|8|} = \frac{2\pi}{8}$ .
Simplify Period Expression: Simplify the expression for the period. $\newline$ Simplifying $\frac{2\pi}{8}$ gives us $\frac{\pi}{4}$ . Therefore, the period of the function $g(x)$ is $\frac{\pi}{4}$ .