Question

Find the domain of f.
f(x) = 4x/(16x2 + 16x − 5)

Answer 1

Can someone please tell me how to do this?

Answer 2

what do u mean by domain of the function?

Answer 3

first find values of x for which f(x) is undefined

Answer 4

HINT: f(x) is undefined when denominator equals to zero

Answer 5

1/16?

Answer 6

NO

Answer 7

you need to solve this equation to find the values of x for which f(x) is undefined.
(16x2 + 16x − 5)=0

Answer 8

can you solve it?

Answer 9

Well, I tried to and got 1/16th, but I could try again... what i did was 16x2 + 16x = 5

Answer 10

x2+x = 5/16

Answer 11

x2+x+(1/4)=9/16

Answer 12

x+1/2 = 9/16

Answer 13

x=1/16

Answer 14

Where did I go wrong, because i plugged in 1/16 and I see that it doesn't work...

Answer 15

x^2+x+(1/4)=9/6
u did wrong after this
it should be (x+1/2)^2 = 9/16

Answer 16

... sqrt of 9/16?

Answer 17

1/4

Answer 18

Wow i'm stupid, thank you. What do I do next?

Answer 19

3/4 and -3/4

Answer 20

No, i mean 1/4 is when it's undefined

Answer 21

so domain of f(x) is x belongs to all real numbers where x is not equal to 3/4 and -3/4

Answer 22

And 1/4? Where'd you get 3/4?

Answer 23

square root of 9/16 is 3/4 and -3/4

Answer 24

Yes, but then you have x+1/2 = 3/4 (and I guess the negative as well)

Answer 25

So x = 1/4

Answer 26

oh yes

Answer 27

or -5/4?

Answer 28

so, x=1/4 and -5/4

Answer 29

The -5/4 doesn't seem to work, so disregard it?

Answer 30

so domain of f(x) is x belongs to all real numbers where x is not equal to 1/4 and -5/4

Answer 31

I plugged it in and it doesn't seem to equal to 0

Answer 32

wait

Answer 33

nvm

Answer 34

yes it does

Answer 35

got it?

Answer 36

Mhmm! Thank you so much!