Question

Determine the domain of the function. f as a function of x is equal to four divided by x squared.

Answer 1

Explanation:

So let’s make a function!

F(x)=4/x^2

So the only x that doesn’t work is 0 because you cannot divide by zero.

As Siri says,

Imagine that you have zero cookies, and you split them evenly among zero friends. How many cookies does each person get? See? It doesn’t make sense.

And Cookie Monster is sad that there are no cookies, and you are sad that you have no friends.

Answer 2

Domain of the function is
`D=(-\infty,0)\cup(0,\infty),\x\\eq 0\)`

Explanation:

Given : Function f as a function of x is equal to four divided by x squared.

To find : Determine the domain of the function ?

Solution :

Writing function in numeral form,

f as a function of x is equal to four divided by x squared i.e.

`f(x)=(4)/(x^2)`

The domain of the function is all the x values for which f(x) is defined.

i.e. function is defined when denominator is not equal to zero.

So, We put denominator = 0 to get on which value of x function is not defined.

`x^2=0`

`x=0`

Therefore, Domain of the function is
`D=(-\infty,0)\cup(0,\infty),\x\\eq 0\)`