Question

Help please with Operations of Functions please

Answer 1

I believe this is B

Answer 2

No. Remember, all functions can only have one relationship for each input value.

Answer 3

o-o what does this mean for the problem?

Answer 4

ok, "x" is input. get it? And "y" is output (result or answer)

For function, all inputs value can only have one output, no more.

make sense? no?

Answer 5

So it can have one answer?

Answer 6

function can only have one "answer" or no answer for each input. If there is two answer for single input, then it's not function.

Answer 7

Ok so inverse is \(y = \pm\sqrt{x+9}\), right?

Answer 8

So this means since it has x and no y that it is not a function then right?

Answer 9

not what im trying to say. ok you get that x is input and y is output, right? are we on same path?

Answer 10

Yes

Answer 11

In order for it to be function, for any input, there can only be one output or no output. input cannot have more than one outputs, otherwise it's not function.

Answer 12

you get it yet?

Answer 13

so 1 output or none if it is more than one it cannot be a function

Answer 14

?

Answer 15

basically, yeah. right.

Answer 16

y= +/- sqrtx x+ 9 meaning it has 2 outputs?

Answer 17

So in this case it would be C then right?

Answer 18

Yep. It's C.

Answer 19

Yay That explanation helped very much ^~^ thank you /)

Answer 20

Glad I helped. Sorry, I almost confused you lol.

Answer 21

If you want to learn another way to determine if it's function or not, you may want to look at this:
http://www.coolmath.com/algebra/15-functions/03-vertical-line-test-01.htm