Question

Which functions are correct?
f(x)=2^4x g(x)=2^x
Choose exactly two answers that are correct.
A. (f g)(x)=2^5x
B. (f g)(x)=2^4x2
C. (f/g)(x)=2^3x
D. (f/g)(x)=1/2^4x

Answer 1

@Hero

Answer 2

@sleepyjess

Answer 3

@jigglypuff314

Answer 4

http://image.slidesharecdn.com/m1l1remediationnotes-140207144744-phpapp02/95/module-1-lesson-1-remediation-notes-15-638.jpg?cb=1391784538

Answer 5

Wait nevermind It worked!

Answer 6

So what is the next step to do??

Answer 7

so now that you know how those equations work we know that
(f * g)(x) = 2^(4x) * 2^(x)
right?

Answer 8

Yes

Answer 9

can you simplify that?
which answer do you think that would be?

Answer 10

I think it would be B

Answer 11

hmmm
do you know about these properties?
https://mathtestpreparation.com/Principles/algebra_sproduct2.gif

Answer 12

Yes!

Answer 13

so
2^(4x) * 2^(x)
would equal
2^(4x + x) = ?

Answer 14

no wait is it 16, I am so confused

Answer 15

4x + x = ?

Answer 16

4x

Answer 17

are you sure? ^_^

Answer 18

no 5x

Answer 19

I think I am sure

Answer 20

good
so
2^(4x) * 2^(x) = 2^(4x + x) = 2^(5x)

do you see how that works?

Answer 21

Yes I do

Answer 22

now, what do you think the answer would be then?

Answer 23

the answer would be A, but it says we have to choose to answers

Answer 24

indeed

the other answer would be the idea of
(f / g)(x) = 2^(4x) / 2^(x)

Answer 25

So would it be A and B

Answer 26

nono, we just got A right?

now we are looking at the dividing idea (between C and D)

Answer 27

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

Answer 28

hmm 15...

Answer 29

Wait, the answers are A and C

Answer 30

there you go

Answer 31

Thank you so much!!!!!!!!