Question

Sally found that a solution of x = 2 was extraneous for her function. What would be a possible denominator in Sally's function?

4x + 8

2x + 12

x2 - 4

x2 - 16

Answer 1

@kritikachandak

Answer 2

extraneous is bad.

example:
if x=3 is an extraneous solution,
we might have a denominator of:\(\Large\rm x-3\)

Answer 3

extraneous means its not relevant to the equation right

Answer 4

This denominator gives us a zero in the denominator when x=3.
So it's bad!:O

yah, it's not a workable solution. we can ignore it as a solution.

Answer 5

Since we have x=2 as extraneous, (x-2) is the form we're looking for in the denominator. Do any of our options give us that?

We'll have to factor to see correctly.

Answer 6

ok so how do we find the denominator?

Answer 7

x=2 is extraneous, \(\Large\rm \color{red}{(x-2)}\) is the factor we'e looking for.
\(\Large\rm 4x+8=4(x+2)\) Hmm that one didn't give us a factor of x-2. So it's not option A.

Answer 8

Understand how that works? :o

Answer 9

yessir

Answer 10

ahh sorry class is starting :c i gotta go

Answer 11

:( darnnit

Answer 12

\(\Large\rm x^2-4=(x+2)\color{red}{(x-2)}\)

Answer 13

is it x^2-4 real quick?

Answer 14

Remember how to factor the difference of squares?

Answer 15

oh boy the website is tweaking out on me :c