Question

Determine the domain of the function.

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

Answer 1

Answer Choices:
x ≥ 0
All real numbers except 0
All real numbers except 3
All real numbers

Answer 2

So the function is \[f(x)=\frac{4}{\sqrt{x}}\]

Answer 3

\[f(x)=4/x^2\]

Answer 4

oh yeah miss reading

Answer 5

ok so all you need to remember is that a domain of a function is where it is defined

Answer 6

what I'm saying is values for which the function does not exit have to be excluded

Answer 7

so in your case what values makes f(x) undefined?

Answer 8

I honestly have no idea, I don't understand any of this.

Answer 9

well ok!
let me ask you this can we divide by 0? is it legitimate ?

Answer 10

ok take for instance can we do 4/0 ?

Answer 11

No

Answer 12

then we can say that for 0 the function is undefined

Answer 13

So we say the domain is all real numbers except 0

Answer 14

because all other values are allowed but 0 no

Answer 15

do you get it now?

Answer 16

Yes I do, thank you!

Answer 17

no problem
anytime you have a fraction you need to set denominator = 0
to find the values that make it 0
that's how you get the domain for rational functions