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
leonid [27]
3 years ago
12

Given that f(a+b)= f(a) + f(b) and f(x) is always positive, what os the value of f(0)?

Mathematics
1 answer:
FrozenT [24]3 years ago
4 0
This is a strange question, and f(x) may not even exist. Why do I say that? Well..

[1] We know that f(a+b) = f(a) + f(b). Therefore, f(0+0) = f(0) + f(0). In other words, f(0) = f(0) + f(0). Subtracting, we see, f(0) - f(0) = f(0) or 0 = f(0).

[2] So, what's the problem? We found the answer, f(0) = 0, right? Maybe, but the second rule says that f(x) is always positive. However, f(0) = 0 is not positive!

Since there is a contradiction, we must either conclude that the single value f(0) does not exist, or that the entire function f(x) does not exist.

To fix this, we could instead say that "f(x) is always nonnegative" and then we would be safe.
You might be interested in
Simplify each expression. 1-4b+3b+11
meriva
The correct answer is -b+12
5 0
3 years ago
Read 2 more answers
Tiffany used 2/5 kg of cherries to bake pies Linda used 1/10 kg of cherries to bake Tarts how many kilograms of cherries did the
kari74 [83]
1/2 Kg of Cherries

Give both 2/5 and 1/10 a common denominator- 10
4/10 + 1/10 = 5/10 = 1/2
6 0
3 years ago
Y=-x-3
nadya68 [22]

Answer: Heyaa! :)

  • <em>1. y=-x-3 = -1</em>

<em>Slope:  </em>−1

<em>y-intercept: </em>(0,−3)

  • <em>2. y=4x-5 =</em> 4

<em>Slope:</em> 4

<em>y-intercept: </em>(0,−5)

  • <em>3. 2x-y=-2 =</em> 2

<em>Slope:</em> 2

<em>y-intercept:</em> (0,2)

  • <em>4. x+y=4 =</em> 1

Slope: −1

<em>y-intercept:</em> (0,4)

  • <em>5. 3x+4y=-12 = - 3/4</em>

<em>Slope: </em>−3/4

<em>y-intercept: </em>

(0,−3)

Hopefully this helps<em> you!</em>

<em />

- Matthew

4 0
2 years ago
What is the perimeter of the quadrilateral?
olasank [31]

Answer:

24.6

Step-by-step explanation:

you multiply them all by two then add them together. :P

6 0
2 years ago
Read 2 more answers
Factor: 9t^2-16u^2 ?
liq [111]

Answer:

Step-by-step explanation:

9t²-16u² = 3²t²-4²u² = (3t)²-(4u)² = (3t+4u)(3t-4u)

8 0
3 years ago
Other questions:
  • 1. Given F ( x ) = 2/3 x - 4
    15·2 answers
  • you order two tacos and a salad. The salad cost $2.50. You leave a three-dollar tip. Theres is no sales tax. How much does one t
    11·2 answers
  • Which function has the same range as y = csc x?
    5·2 answers
  • 6 times the sum of 3 consecutive odd intergers is -18
    5·1 answer
  • The table shows the data of a random sample of fish that were collected from and later released into a lake.
    12·2 answers
  • CAN SOMEONE PLEASE HELP ME OUT ON THIS QUESTION PLEASE!!!! I WILL GIVE BRAINLIEST!!! I HAVE TO TURN THIS IN, IN AN HOUR!!!!
    9·1 answer
  • Patrick is building a patio in the shape of a decagon with a radius of 12 feet. To determine the amount of cement needed, he mus
    15·1 answer
  • Rick is a member of a gym. He pays a monthly fee and per-visit fee. He is trying to create an equation to represent cost per mon
    14·1 answer
  • 0.1<br> 9. Carmen spent $96 on four concert tickets,<br> How much was each ticket?<br> +
    6·2 answers
  • What is the sum of one sixth and thrice of n​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!