Question

What is the frequency of the function f(x)?

Answer 1

Frequency
= (pi)/(2pi)
= 1/2

Answer 2

Answer:              

The frequency of given function is $F=\frac{1}{2}$

Step-by-step explanation:

Given : Function - $f(x)=3cos(\pi x)-2$

To find : The frequency of the function

Solution :

General form of cosine function is $y=Acos (Bx)+c$

Where A is Amplitude

$B=\frac{2\pi}{\text{Period}}$

C is Mid line

And the frequency is given by

$F=\frac{1}{P}$, F is frequency and P is period

Now, we find period,

Comparing the given function with general form of cosine we get,

$y=3cos(\pi x)-2$

Period -$B=\pi$

and we know, $B=\frac{2\pi}{\text{Period}}$

Equating the terms,

$\pi =\frac{2\pi}{\text{Period}}$

$\text{Period}=\frac{2\pi}{\pi}=2$

Period=2

Frequency is $F=\frac{1}{P}$

$F=\frac{1}{2}$

Therefore, The frequency of given function is $F=\frac{1}{2}$