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
WARRIOR [948]
3 years ago
11

I'm super confused on parts g and h because no formula is given, just the limit values. These are the values:

Mathematics
1 answer:
Mrrafil [7]3 years ago
8 0

Answer:

See below.

Step-by-step explanation:

1)

So we have the limit:

\lim_{x\to 4} (f\circ g)(x)

This is equivalent to:

\lim_{x\to 4} f(g(x))

To solve, we can use the following property:

\lim_{x \to c} f(g(x))=f(  \lim_{x \to c} g(x))

Therefore, our limit is the same as:

\lim_{x\to 4} f(g(x))\\=f(\lim_{x\to 4} g(x))

We are already given that the limit as x approaches 4 of g(x) is -2. Therefore:

=f(-2)

You simply need to evaluate this to solve the limit. I don't have enough information to solve this, so maybe you have something more.

Similarly, for the second one:

2)

We have:

\lim_{x\to 4} (g\circ f)(x)\\=\lim_{x\to 4}g(f(x))

Using the same property:

=g(\lim_{x\to 4} f(x))

And we are told that this is 16, so:

=g(16)

And we just need to evaluate this to find the limit.

I hope you find this helpful!

You might be interested in
| If f(x) = 7 + 4x and g(x)= 7, what is the value of (f/g)(5)
attashe74 [19]

Answer:

27/7.

Step-by-step explanation:

(f/g)x = (7 + 4x) / 7

(f/g)(5) = (7 + 4(5)/ 7

= 27/7.

7 0
3 years ago
Read 2 more answers
Which measure is greater? 5 kilograms or 5 pounds?
Monica [59]

Answer:

5 kg is greater

Step-by-step explanation:

5 pounds = 2.26796185 kilograms

7 0
3 years ago
C'est un calcul de développement combien fait : 3x-6+7×(2x+4)​
Trava [24]
The answer is 17x+22
3 0
3 years ago
IC
Ket [755]
Shshshsshejs..................&:&:&;&;$;$,$;$48;
3 0
2 years ago
Which distribution is used to test the claim that women have a higher mean resting heart rate than men?
xeze [42]

This question is incomplete, the complete question is;

Assume that two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Which distribution is used to test the claim that women have a higher mean resting heart rate than men?

A.t

B.F

C.Normal

D. Chi-square

Answer:

A) t  test

Step-by-step explanation:

A t-test uses sample information to assess how plausible it is for the population means μ1​ and μ2​ to be equal.

The formula for a t-statistic for two population means (with two independent samples), with unknown population variances shows us how to calculate t-test with mean and standard deviation and it depends on the assumption of having an equal variance or not.

If the variances are assumed to be not equal,

he formula is:

t =  (bar X₁ - bar X₂) / √( s₁²/n₁ + s₂²/n₂ )

If the variances are assumed to be equal, the formula is:

t =  (bar X₁ - bar X₂) / √ (((n₁ - 1)s₁² + (n₂ - 1)s₂²) / (n₁ + n₂ - 2)) ( 1/n₁ + 1/n₂)

it called t-test for independent samples because the samples are not related to each other, in a way that the outcomes from one sample are unrelated from the other sample.

hence option A is correct. t test

4 0
3 years ago
Other questions:
  • Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of
    5·1 answer
  • mabel received 120 of the most popular beads for her birthday. there were 4 packages. how many beads per package were ther.
    9·1 answer
  • Solve for r:<br> B=dPIEr^2
    11·1 answer
  • What is the quotient of 5/7÷7/10​
    6·2 answers
  • 6. What are the points on the<br>of whase perpendicar<br>from the straight the <br>x/a+y/b=1 is a.​
    14·1 answer
  • the number of customers waiting inside a restaurant was 2 less than a third of those waiting inside. if three customers were wai
    9·1 answer
  • Stanley practices his running, swimming and biking every day. During these practices he runs at 9 mph, bikes at 16 mph and swims
    11·2 answers
  • Marco's goal is to eat only 2000 calories each day. One day for breakfast he consumed 310 calories, for lunch he consumed 200 mo
    11·1 answer
  • A market researcher analyzing the fast-food industry noticed the following: The historical average amount spent at an upscale re
    15·1 answer
  • 960 meters in 15 seconds.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!