1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Licemer1 [7]
3 years ago
6

Determine algebraically whether the function is even, odd, or neither even nor odd. f as a function of x is equal to x plus quan

tity 12 over x
Mathematics
2 answers:
Svetach [21]3 years ago
8 0

y = x + 4/x

replace x with -x. Do you get back the original equation after simplifying. if you do, the function is even. replace y with -y AND x with -x. Do you get back the original equation after simplifying. If you do, the function is odd. A function can be either even or odd but not both. Or it can be neither one. Let's first replace x with -x

y = -x + 4/-x = -x - 4/x = -(x + 4/x)

we see that this function is not the same because the original function has been multiplied by -1 . Let's replace y with -y and x with -x

-y = -x + 4/-x

-y = -x - 4/x

-y = -(x + 4/x)

y = x + 4/x

This is the original equation so the function is odd.

Lemur [1.5K]3 years ago
4 0

Answer:

Neither even nor odd.

Step-by-step explanation:

A functio f(x) is even if f(-x)=f(x) for all x in the domain.

A function f(x) is odd if f(-x)=-f(x) for all x in the domain.

First note that

f(x)=\dfrac{x+12}{x}

hence

f(-x)=\dfrac{-x+12}{-x}=\dfrac{(-1)(x-12)}{(-1)x}=\dfrac{(x-12)}{x}\neq f(x)

which tells us that the function is not even.

On the other hand,

-f(x)=-\dfrac{x+12}{x}=\dfrac{-x-12}{x}\neq f(-x)

which tells us that the function is not odd.

Therefore, f(x) is neither even nor odd.

You might be interested in
6a+ -12a plz explain (a=1/2) I don't know evaluating expressions
Marianna [84]

Plug in the 1/2 where the a’s are answer is -3

7 0
3 years ago
jessie has a peice of wood that is 8 feet long he needs to cut pieces that are 7/8 of a foot long how many pieces will he be abl
attashe74 [19]

Answer: 9 pieces

Explanation: Divide 8 by 7/8 to find the number of cut pieces and you'll get 9.





3 0
3 years ago
What is the answer using the majic method of factoring?
NeX [460]
2x² - 15x + 7
(2x - 1)(2x-14)

(2x - 1)(x - 7) x= 1/2 or 7
7 0
3 years ago
The probability that a fair coin tossed 10 tines will land heads up on all ten tosses is 1 out of
Sidana [21]
1/10 because you will do it 10 times
6 0
3 years ago
Two sides of an obtuse triangle measure 9 inches and 14 inches. The length of longest side is unknown. What is the smallest poss
julia-pushkina [17]

Answer:

17 inches

Step-by-step explanation:

An obtuse triangle is the triangle in which one of the side is the longest. It contains an obtuse angle and the longest side is the side that is opposite to the vertex of the obtuse angle.

Let the three sides of the obtuse triangle be a, b and c respectively with c as the longest side. Let a = 9 inches and b = 14 inches.

Now we know that for an obtuse triangle,

$c^2 > a^2 +b^2$

$c^2 > (9)^2 +(14)^2$

$c^2 > 81 +196$

$c^2 > 277$

c > 16.64

Therefore the smallest possible whole number is 17 inches.

4 0
2 years ago
Read 2 more answers
Other questions:
  • Please help me with this question
    13·1 answer
  • 12. What's the simplified form of 2x + 3 - X + 5?<br> A. X + 8<br> B. X-2<br> C. X-8<br> D. 3x + 8
    8·1 answer
  • How do you change the answers into the correct number of digit?
    6·1 answer
  • The value of the digit 2 in 5,426 is 20. In which number is the
    6·1 answer
  • Express tan A as a ratio with a rationalized denominator.
    11·1 answer
  • -9n+5-3x-6 use n=9 and x=2
    13·1 answer
  • Question 9 options: Review the function graph below.
    8·1 answer
  • Pls help this should be easy for u guys
    15·1 answer
  • Two companies modeled their profits for one yeor Which stotement describes the relationship between the profits, predicted by th
    8·1 answer
  • Select the correct answer from the drop-down menu. Simplify the expression (x^19 y^21)^4/(x^2y^6)^2. The simplified expression i
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!