Question

PLZ HELP: Given f of x is equal to the quantity x minus 4 end quantity divided by the quantity x squared plus 13x plus 36 end quantity, which of the following is true?

f(x) is decreasing for all x > –9
f(x) is increasing for all x < –9
f(x) is increasing for all x > –4
f(x) is decreasing for all x > –4

Answer 1

thx

Answer 2

So, this is your current equation, am I correct?

Answer 3

yes

Answer 4

okay--so, I looked on Desmos, and I found this as a POSSIBLE way to help you. It IS in the negative, but it seems like it's somewhere between 3 different graphs.

Answer 5

Now--to solve, I'd suggest working from the bottom, THEN the top. meaning, we need to solve the bottom half of the #/#

Answer 6

and as three possible answers, you get these. Remember, use PEMDAS to solve.

Answer 7

I still don't get it :(

Answer 8

Okay...so, do you know PEMDAS?

Answer 9

yes prenthe exponet multipcation division + and -

Answer 10

P - Parenthesis
E - Exponents
M/D - Multiply OR Divide (left-to-right)
A/S - Add OR Subtract (left-to-right)

Answer 11

okay--so, you use that to solve. first, you'd try and make the 2 Xs into one

Answer 12

ok?

Answer 13

So, you divide the one on the right by 13--that way it's by itself.

Answer 14

hold on, i'm getting stuck myself--i'm being taught this atm in my own AFDA class--i think you have to also try to get rid of the other exponents--but overall, if i check--

your lower half should equal out to a simple (x+4)(x+9)

Answer 15

so, now--your equation should look like this:

Answer 16

from there, you should be able to solve. simply use PEMDAS and you SHOULD be able to fully solve it from there so it just works itself

Answer 17

And your answer to THAT equation SHOULD be 4--therefore, you have your answer.