Question

What is the discontinuity and zero of the function f(x) = 2x^2+5x-12/x+4?

Discontinuity at (-4, -11), zero at (3/2 , 0)

Discontinuity at (-4, -11), zero at (- 3/2 , 0)

Discontinuity at (4, 5), zero at ( 3/2, 0)

Discontinuity at (4, 5), zero at (-3/2 , 0)

Answer 1

Anybody know? @Kainui

Answer 2

@jim_thompson5910

Answer 3

@MathLegend @mathmale

Answer 4

@Mertsj

Answer 5

@wio

Answer 6

Can the denominator be 0?

Answer 7

no those are the responses up above! @Mertsj

Answer 8

i just really need help with this problem! @Mertsj @wio

Answer 9

http://www.wolframalpha.com/input/?i=graph%3Af%28x%29+%3D+2x^2%2B5x-12%2F%28x%2B4%29

Answer 10

So it would be out of the list of answer choices it would be either the first or second one! @Mertsj

Answer 11

first one

Answer 12

thank you!

Answer 13

yw

Answer 14

@Mertsj Here is another one if you could help me with it!

Answer 15

What are the zero(s) of the function f(x)=4x^2-36x/x-9

Answer 16

Factor the numerator

Answer 17

@Mertsj answer choices!

x = -9

x = 0

x = 9

x = 0 and x = 9

Answer 18

\[\frac{4x^2-36x}{x-9}\]

Answer 19

Is that the problem?

Answer 20

yup!

Answer 21

Factor the numerator

Answer 22

Elaborate @Mertsj

Answer 23

The numerator is 4x^2-36x
Factor out 4x

Answer 24

x^2 -9

Answer 25

4x(x^2-9)
Does that = 4x^2-36x?

Answer 26

yes? @Mertsj

Answer 27

What is 4x multiplied by x^2

Answer 28

4x^3 @Mertsj

Answer 29

Then I guess those could not be the factors because there is on 4x^3 in your problem so factor the numerator and this time makes sure the factors multiply back

Answer 30

Um i dont understand? can you explain it to me? @Mertsj

Answer 31

You are working on a pre calc test. You need to discover on your own how to factor out the common factor from 4x^2-36x.

Answer 32

That is an algebra 1 problem

Answer 33

isint it 0 and 9

Answer 34

@Mertsj

Answer 35

The denominator is x-9 so x cannot be 9

Answer 36

Then it is 0 @Mertsj

Answer 37

?? @Mertsj

Answer 38

correct @Mertsj

Answer 39

Please note that the original problem:

f(x) = 2x^2+5x-12/x+4?

You have written: \(f(x) = 2x^{2} + 5x - \dfrac{12}{x} + 4\)

If that is not your intent, please remember your Order of Operations and use parentheses as necessary.

Answer 40

Distributive Property of Multiplication over Addition.

a(b+c) = ab + ac

or the other way

ab + ac = a(b+c)

\( 4x^2-36x = 4(x^{2} - 9x)\)

Do the same with the constant factor "x".

Answer 41

ok but wouldnt that cause for the answers to be equal to 0 or no?

Answer 42

* common factor, not constant factor. Sorry about that.

Answer 43

I don't actually care what the answers are, just yet. I want to SEE it factored and WRITTEN. Then we can worry about the final solution.

Answer 44

Oh ok I am sorry! @tkhunny