Question

f(x) = x^2 - 16 and g(x) = x+4. Find f/g and its domain.

Answer 1

Its domain is -4, but what is f/g?

Answer 2

Domain is all real numbers EXCEPT x=-4

Answer 3

Yeah that ^ lol cx Idk how to get the rest its not the same as the last question cause it has an exponent

Answer 4

x^2-16/x+4 how do i solve that ?

Answer 5

Use brackets, just like last time.

Answer 6

I dont get it ...howw? /.\

Answer 7

wait i tell you how to solve it..@SkiTTleoooo47

Answer 8

@agent0smith is already helping me :)

Answer 9

lol... put brackets in :P like this:

(x^2-16)/(x+4)

Now you have to factor the x^2-16. Remember difference of two squares?

Answer 10

The difference of two squares?

Answer 11

\[f/g=\frac{ x^{2}-16 }{ x+4 }
=\frac{ (x+4)(x-4) }{ (x+4) }
=(x-4)\]
in 2nd step use this formula...a^2-b^2=(a+b)(a-b)

Answer 12

difference of two squares:\[\large a^2 - b^2 = (a+b)(a-b)\]

Answer 13

Oh okay okay lol Let me find another pen lol i messed up the one i had :P

Answer 14

Wait do i put in for the value's of A and b?

Answer 15

well,

\[\large x^2 - 16 = x^2 - 4^2\] right?

Answer 16

Yeah ?

Answer 17

so then \[\large x^2 - 4^2 = (x+4)(x-4)\]since\[\large a^2 - b^2 = (a+b)(a-b)\]

Answer 18

So what do i do next i solve that?

Answer 19

Now that we factored it,
\[\Large f/g=\frac{ x^{2}-16 }{ x+4 } =\frac{ (x+4)(x-4) }{ (x+4) } \]now try simplifying

Answer 20

f/g= x^2/-16/x+4= (x+4) ?

Answer 21

Look again.

Answer 22

Where am i wrong?

Answer 23

look again at my post, and you might see ;P

Answer 24

I dont see it! Omg :( Why was i born so dumbbb lol

Answer 25

\[\Large \frac{ (x+4)(x-4) }{ (x+4) }\]simplify this.

Answer 26

What cancels off on the top and bottom?

Answer 27

x-4 and x+4 right? or is it x+4 and x+4?

Answer 28

Cancel off common factors, whatever is EXACTLY the same on the top and bottom. What's left?

Answer 29

x-4?

Answer 30

Correct.

Answer 31

Okay so its f/g= x^2-16/x+4+(x-4)? right ?

Answer 32

What? You literally just worked out the answer a moment ago...

Answer 33

i meant an equal sign lol

Answer 34

Tell me what f/g is, your last post is not it :P

Answer 35

Oh so the answer was x-4?

Answer 36

f/g = x-4, domain is earlier somewhere up top

Answer 37

-4? :)

Answer 38

So my answer is f/g= x-4 and domain is all real numbers except x=-4?

Answer 39

Yep.

Answer 40

Okay thanks :)

Answer 41

no prob :)