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anzhelika [568]
3 years ago
14

Let f(x) = x2 and g(x) = x − 3. Evaluate (g ∘ f)(0).

Mathematics
1 answer:
vodka [1.7K]3 years ago
8 0
<span>f(0) = 0
g(f(0)) = 0 - 3 = -3

answer
</span><span>(g ∘ f)(0) = -3</span>
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Hi, am I supposed to find the stationary points of the f(x) and g(x) then use the distance formula to solve for the final answer
nikdorinn [45]

9514 1404 393

Answer:

  maximum difference is 38 at x = -3

Step-by-step explanation:

This is nicely solved by a graphing calculator, which can plot the difference between the functions. The attached shows the maximum difference on the given interval is 38 at x = -3.

__

Ordinarily, the distance between curves is measured vertically. Here that means you're interested in finding the stationary points of the difference between the functions, along with that difference at the ends of the interval. The maximum difference magnitude is what you're interested in.

  h(x) = g(x) -f(x) = (2x³ +5x² -15x) -(x³ +3x² -2) = x³ +2x² -15x +2

Then the derivative is ...

  h'(x) = 3x² +4x -15 = (x +3)(3x -5)

This has zeros (stationary points) at x = -3 and x = 5/3. The values of h(x) of concern are those at x=-5, -3, 5/3, 3. These are shown in the attached table.

The maximum difference between f(x) and g(x) is 38 at x = -3.

4 0
3 years ago
I would really like to get some help :)
Maru [420]

Answer: I don't know about the formula, but consider the logic below.

Step-by-step explanation:

Martina = 12

Joey = 0

12 x 3 = 36

36 - 3 = 33

If Joey was 21, Martina would be 33.

6 0
2 years ago
Read 2 more answers
A survey of 1,000 men and women asked, "Do you earn over $50,000 per year?" The table below shows the responses for males and fe
Effectus [21]

Based on the data, it is found that "being female" and "earning over $50,000" are not independent events. the correct answer is option D.

<h3>What is probability?</h3>

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Two events, A and B are independent, if:

P(A \cap B) = P(A) P(B)

In this problem, the events are:

  • Event A: Being female.
  • Event B: Earning over $50,000.

Out of the 1000 people, 450 are female, hence:

P(A) = \dfrac{450}{1000} = 0.45

850 earn over $50,000, hence:

P(B) = \dfrac{850}{1000} = 0.85

375 are women who earn over $50,000, hence:

P(A \cap B)  = \dfrac{375}{1000} = 0.375

The multiplication of the probabilities is:

P(A \cap B)  = 0.45(0.85} = 0.3825

Therefore based on the data, it is found that "being female" and "earning over $50,000" are not independent events. the correct answer is option D.

To know more about probability follow

brainly.com/question/24756209

#SPJ1

3 0
2 years ago
If you had to subtract 426 from 913, how many times would you need to regroup? how can you tell?
viktelen [127]
Regrouping in subtraction means that if you can't subtract because the digit on the bottom has a greater value than the digit on the top (such as 3-6)m so in this case you would have to regroup twice.
5 0
3 years ago
What is the volume of a sphere with a radius of 3/2 feet?
Dmitry_Shevchenko [17]
Around 4.5π. This can be determined by the volume of a sphere formula. 
8 0
3 years ago
Read 2 more answers
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