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Hoochie [10]
3 years ago
12

let f(x)=2x^2+7x-4/x^3-1 what is the domain,range,roots,end behavior and intersect the y-axis of f(X)

Mathematics
1 answer:
victus00 [196]3 years ago
3 0
Here's the factorization of the equation
f(x) = [ (x+4)(2x-1) ] / [ (x-1)(x^2+x+1) ]

<u>Domain</u>
The domain of a function is the set of input or argument values for which the function is real and defined.
- function domain : x < 1 or x > 1

<u>Range
</u>
<u />Resulting f(x) values: all Real Numbers<u>
</u>
<u>Roots
</u>
x = 1/2 & -4

<u>Axis interception points</u>
x-axis: (1/2, 0) , (-4, 0)
(y-axis): (0, 4)

<u>Asymptotes</u>
Vertical: x = 1
Horizontal: y = 0
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Factor completely 3bx^2 - 9x^3 - b + 3x​
Anna11 [10]

Factor out the common terms in the first two terms, then in the last two terms;

3x^2(b - 3x) - (b - 3x)

Factor out the common term b - 3x

<u>= (b - 3x)(3x^2 - 1)</u>

5 0
3 years ago
Resolva a equação a seguir:<br> (x-3/2) + (2x-3/4) = (x²) + (x)-(17/2)
bagirrra123 [75]
X =(-8+√464)/-8=1-1/2√<span> 29 </span><span>= -1.693</span>
8 0
3 years ago
A drilling crew dug to a depth of 26 ½ feet during their first day of drilling. On the second day, the crew dug down 9½ feet mor
Neporo4naja [7]

The depth of the bottom of the hole after the second day is 36 feet using addition operation.

<h3>What is addition?</h3>

In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the sum refers to the outcome of the operation.

Given the depth on the first day is 26 ½ feet.

Depth on the second day = 9½ feet more than on the first day i.e. 9½ feet + depth on the first day

This implies, depth on the second day = 9½ + 26 ½

= 36 feet

Therefore, the depth of the bottom of the hole after the second day is 36 feet.

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5 0
1 year ago
21.12 is what percent of 82.5 ?
Tanya [424]
21.12 is 25.6% of 82.5. I hope this helps. :)
5 0
4 years ago
In a class of 40 students, 5 like neither Nokia nor
STatiana [176]

Answer:

<em><u>The number of students that like only Nokia </u></em>

<h2>= 30</h2>

Step-by-step explanation:

consider N the number of students who like Nokia → N=?

               T the number of students who like Techno → T=35

Statement 1: In a class of 40 students, 5 like neither Nokia nor Techno

we can translate it like this: 35 student like Nokia or Techno

we can note it like this : T∪N= 35

Statement 2: 30 like Techno and Nokia

we can note it : T∩N = 30

using a rule concerning the number of element of a set :

T∪N = N + T - T∩N

then

35 = N + 35 - 30

⇒ N - 30 = 0

⇒ N = 30

7 0
3 years ago
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