All categories

2 years ago

If f(x) = 3x2 and g(x) = 4x2+1, what is the degree of (fog)(x)?

Mathematics

1 answer:

sattari [20]2 years ago

5 0

Answer:

Step-by-step explanation:

To solve this problem let us first find $(fog)(x)$ , or find the function of f(x) in terms of g(x). All we have to do is replace x with g(x) in the function f(x):

$(fog)(x)=3g(x)^2\\\\(fog)(x)=3(4x^2+1)^2\\\\(fog)(x)=3(16x^4+8x^2+1)\\\\(fog)(x)=48x^4+24x^2+3$

We have to find the the degree of $(fog)(x)$ , which is the largest exponent on one of the polynomial's terms. Notice that $48x^4$ has the greatest exponent of 4.

Therefore, the degree of (fog)(x) is 4.

I hope this helps! Let me know if you have any questions :)

You might be interested in

8. Kim works as a freelance writer and editor. She charges $14.12 per page for editing services and $0.20

dalvyx [7]

Answer:

Answer to question eight: $152.96

Step-by-step explanation:

$14.12 * 8 pages = $112.96

$0.20 * 200 words = $40

$112.96 + 40 = $152.96

7 0

2 years ago

When adding and subtracting numbers do you add and subtract the denominator

NNADVOKAT [17]

Answer:

No, you don't.

Step-by-step explanation:

The denominator only changes if you're multiplying/dividing. You may need to create an equivalent fraction to add the fractions together, but you don't add or subtract the denominator.

Hope this helps! Have a great day!

4 0

2 years ago

Read 2 more answers

What number is a solution of the inequality y is greater than 1.9

hodyreva [135]

The question is, "What number is a solution of the inequality y > 1.9?"

The answer can vary, one of them being 2.

Possible Answers: 2,3,4,5,6,7,8,9,10

3 0

3 years ago

Writing is not that easy...but grammarly can help! this sentence is grammatically correct, but it's wordy and hard to read :0

Alla [95]

Answer:

wow 1555

Step-by-step explanation:

no no dont touch me there this is y uhbeyufbeb

4 0

2 years ago

Maggie is practicing her penalty kicks for her upcoming soccer game. During the practice, she attempts 10 penalty kicks. If each

arlik [135]

Answer:

$P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)$

And we can find the individual probabilities like this:

$P(X=8)=(10C8)(0.65)^0 (1-0.65)^{10-8}=0.176$

$P(X=9)=(10C9)(0.65)^1 (1-0.65)^{10-9}=0.072$

$P(X=10)=(10C10)(0.65)^2 (1-0.65)^{10-10}=0.013$

And adding we got:

$P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)= 0.176+0.072+0.013=0.262$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=10, p=0.65)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

For this case we want to find this probability:

$P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)$

And we can find the individual probabilities like this:

$P(X=8)=(10C8)(0.65)^0 (1-0.65)^{10-8}=0.176$

$P(X=9)=(10C9)(0.65)^1 (1-0.65)^{10-9}=0.072$

$P(X=10)=(10C10)(0.65)^2 (1-0.65)^{10-10}=0.013$

And adding we got:

$P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)= 0.176+0.072+0.013=0.262$

5 0

2 years ago