Question

what is the horizontal asymptote of the function f(x)=3x^2-9/x^2-4
a. y=3
b. x=+-3
c. x=9/4
d y=+-2
e. none

Answer 1

@ParthKohli

Answer 2

@cj49

Answer 3

@TheGaMer007

Answer 4

ill try

Answer 5

thanks so much!!!

Answer 6

oh man

Answer 7

lol its hard

Answer 8

too hard

Answer 9

dang

Answer 10

well thanks for trying

Answer 11

@aryandecoolest

Answer 12

so sry

Answer 13

wat grade u in?

Answer 14

11 lol hbu

Answer 15

WOW im in 8th

Answer 16

haha yea...

Answer 17

@mathmath333

Answer 18

well ill try to find the answer for ya

Answer 19

thanks so much!! @TheGaMer007

Answer 20

np :)

Answer 21

have u got the solution

Answer 22

yea its f(x)=3x^2-9/x^2-4

Answer 23

u found it

Answer 24

\(\large \begin{align} \color{black}{ f(x)=\dfrac{3x^2-9}{x^2-4}\hspace{.33em}\\~\\
}\end{align}\)

Answer 25

yes

Answer 26

cool

Answer 27

so the top is squared root 3?? @mathmath333

Answer 28

the bottom x=2,x=-2?

Answer 29

the asymptote is found when \(\large f(x) \) is undefined that is
it is \(\large \infty\)
so
\(\large \begin{align} \color{black}{ f(x)=\infty\hspace{.33em}\\~\\
\dfrac{3x^2-9}{x^2-4}=\infty \hspace{.33em}\\~\\
\dfrac{3x^2-9}{x^2-4}=\dfrac{1}{0} \hspace{.33em}\\~\\
\dfrac{x^2-4}{3x^2-9}=\dfrac{0}{1} \hspace{.33em}\\~\\
x^2-4=0 \hspace{.33em}\\~\\
}\end{align}\)
solve further to get the values of \(\large x\)

Answer 30

its 0?

Answer 31

wait +-3

Answer 32

u have to solve this
\(\large \begin{align} \color{black}{
x^2-4=0 \hspace{.33em}\\~\\
}\end{align}\)
use formula

\(\large \begin{align} \color{black}{a^2-b^2=(a+b)(a-b) \hspace{.33em}\\~\\
}\end{align}\)

Answer 33

\(\large \begin{align} \color{black}{
x^2-4=0 \hspace{.33em}\\~\\
x^2-2^2=0 \hspace{.33em}\\~\\
}\end{align}\)

Answer 34

x-2=0 right @mathmath333

Answer 35

\(\large \begin{align} \color{black}{
x^2-4=0 \hspace{.33em}\\~\\
x^2-2^2=0 \hspace{.33em}\\~\\
(x-2)(x+2)=0 \hspace{.33em}\\~\\
x=2~~\normalsize \text{or} \hspace{.33em}\\~\\
x=-2
}\end{align}\)

Answer 36

so its y=+-2

Answer 37

see above if it is
x or y that i found \(\pm 2\)

Answer 38

lol sorry its x

Answer 39

still need help ?

Answer 40

for options

Answer 41

@mathmath333

Answer 42

should i go with e or d?

Answer 43

what do u think ?

Answer 44

i think e because d is y not x

Answer 45

\(\Huge \checkmark\)

Answer 46

thanks