What is the period of the function g(x)=2cos(7x+5)+1? Give an exact value. units

Identify basic form and coefficient: Identify the basic form of the cosine function and the coefficient of x within the argument of the cosine function. The basic form of a cosine function is cos(Bx), where B affects the period of the function. In g(x)=2cos(7x+5)+1, the coefficient of x is 7.Recall formula for period: Recall the formula for the period of a cosine function. The period of a cosine function is given by the formula P = 2π/B, where B is the coefficient of x in the argument of the cosine function.Calculate period using coefficient: Calculate the period using the coefficient B=7. Substitute B=7 into the formula P = 2π/B to find the period. P = 2π/7Check for mathematical errors: Check for any mathematical errors in the calculation. The calculation P = 2π/7 is correct and there are no mathematical errors.

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What is the period of the function
g(x)=2cos(7x+5)+1?
Give an exact value.
units

What is the period of the function $g(x)=2 \cos (7 x+5)+1 ?$ $\newline$ Give an exact value. $\newline$ units

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Algebra 1

Domain and range of quadratic functions: equations

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Q. What is the period of the function

g(x)=2 \cos (7 x+5)+1 ?

\newline

Give an exact value.

\newline

units

Identify basic form and coefficient: Identify the basic form of the cosine function and the coefficient of $x$ within the argument of the cosine function. $\newline$ The basic form of a cosine function is $\cos(Bx)$ , where $B$ affects the period of the function. $\newline$ In $g(x)=2\cos(7x+5)+1$ , the coefficient of $x$ is $7$ .
Recall formula for period: Recall the formula for the period of a cosine function. $\newline$ The period of a cosine function is given by the formula $P = 2\pi/B$ , where $B$ is the coefficient of $x$ in the argument of the cosine function.
Calculate period using coefficient: Calculate the period using the coefficient $B=7$ . $\newline$ Substitute $B=7$ into the formula $P = \frac{2\pi}{B}$ to find the period. $\newline$ $P = \frac{2\pi}{7}$
Check for mathematical errors: Check for any mathematical errors in the calculation. $\newline$ The calculation $P = \frac{2\pi}{7}$ is correct and there are no mathematical errors.