what is the equation of the midline for the function $f(x)$?\n$f(x)=\frac{1}{2}cos(x)+5$\nenter your answer…

what is the equation of the midline for the function $f(x)$?\n$f(x)=\frac{1}{2}cos(x)+5$\nenter your answer in the box.

what is the equation of the midline for the function $f(x)$?\n$f(x)=\frac{1}{2}cos(x)+5$\nenter your answer in the box.

Answer

Explanation:

Step1: Recall mid - line formula for trig functions

For a function of the form $y = A\cos(Bx - C)+D$, the mid - line is given by $y = D$.

Step2: Identify the value of D in the given function

In the function $f(x)=\frac{1}{2}\cos(x)+5$, comparing with $y = A\cos(Bx - C)+D$, we have $A=\frac{1}{2}$, $B = 1$, $C = 0$ and $D = 5$.

Answer:

$y = 5$