Question

Can someone check my answer, I'll fan and medal
Determine algebraically whether the function is even, odd, or neither even nor odd.
f as a function of x is equal to x plus quantity 12 over x

Answer 1

I said odd

Answer 2

So what is your answer?

Answer 3

I messed up in that equation!

Answer 4

i think you have made a typo.. in your first post

Answer 5

The equation is \[f(x)=x+\frac{ 12 }{ x }\]

Answer 6

Do you know what is the condition for a function to be odd?

Answer 7

It depends on the exponents, right? That's what my teacher told me @priyar

Answer 8

Actually there is a small condition that you can check to decide about this.
If f(-x)=f(x) then even funct.
If f(-x)= -f(x) then odd funct.

Answer 9

Now can you tell me ?

Answer 10

Is it an even function?

Answer 11

@priyar

Answer 12

Did you check the condition? Can your show your steps?

Answer 13

I'm confused..

Answer 14

It is actually simple. Let me show you an example.. if i am given
f(x) = 3x
i will check for f(-x), here all i need to do is replace "x" with "-x" so what will be f(-x)?

Answer 15

It would make it odd

Answer 16

Good!! now do the same for our Q

Answer 17

@babtaooche ?

Answer 18

Would it be odd?

Answer 19

Good job!

Answer 20

Thank you!

Answer 21

Now you know how to solve such Q's right?

Answer 22

Yes!

Answer 23

Great! you deserve a medal