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
What does it mean please help urgent
Furkat [3]
It is a pronoun that is used to replace a previously mentioned noun or is used to identify a person.
6 0
3 years ago
If you are good at sequences in math please help I am giving more points
vodka [1.7K]

Answer:

C. 101 - 5(n - 1)

Step-by-step explanation:

d = (26 - 71)/(16 - 7)

d = -45/9

d = -5

a7 = a1 + (7-1)(-5)

71 = a1 - 30

a1 = 101

an = 101 + (n - 1)(-5)

an = 101 - 5(n - 1)

4 0
3 years ago
Read 2 more answers
Which are the solutions of the quadratic equation? x2 = –5x – 3 –5, 0 StartFraction negative 5 minus StartRoot 13 EndRoot Over 2
boyakko [2]

<u>Given</u>:

The quadratic equation is x^{2}=-5 x-3

We need to determine the solutions of the quadratic equation.

<u>Solution</u>:

Let us solve the equation to determine the value of x.

Adding both sides of the equation by 5x and 3, we get;

x^{2}+5 x+3=0

The solution of the equation can be determined using quadratic formula.

Thus, we get;

x=\frac{-5 \pm \sqrt{5^{2}-4 \cdot 1 \cdot 3}}{2 \cdot 1}

x=\frac{-5 \pm \sqrt{25-12}}{2 }

x=\frac{-5 \pm \sqrt{13}}{2 }

Thus, the two roots of the equation are x=\frac{-5 + \sqrt{13}}{2 } and x=\frac{-5- \sqrt{13}}{2 }

Hence, the solutions of the equation are x=\frac{-5 + \sqrt{13}}{2 } and x=\frac{-5- \sqrt{13}}{2 }

6 0
3 years ago
Read 2 more answers
Help (what is the correct answer)?
mihalych1998 [28]
The answer is b because the slope is rise over run it goes up 2 times and right 4 times which are both positive so the answer is 2/4 or 1/2
8 0
3 years ago
Read 2 more answers
I NEED THIS ASAP!!!! PLZ HELP!!!!! 25 POINTS!!!
Solnce55 [7]

Answer: B

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Find a vector parametrization for the line with the given description. Perpendicular to the yz-plane, passes through (0, 0, 8)
    15·1 answer
  • China's population is 1.446×10^9 . Marshall Island's population is 6.025×10^4 .
    15·1 answer
  • Just question 1A and 2A with explanation please. Lots of point and brainliest!
    9·2 answers
  • Given a linear function y =23x+2, which two points make the line?
    7·1 answer
  • Pls help! I’m giving 17 points!
    8·2 answers
  • What does -8(6x - 2) equal? How do I get my answer?
    15·2 answers
  • PLEASE HELP MEE!!!!!!!!Joshua is 11 years old, and his dad is 33
    8·1 answer
  • Simplify the polynomial and evaluate for the following values. x^2 yxy-xy^2xy if x=-3 and y=2 the simplified polynomial is = , T
    15·1 answer
  • What is the value of X
    9·1 answer
  • What is the answer to -6x - 11 = 19<br> And how to solve it?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!