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
Natalija [7]
2 years ago
11

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:

4

Step-by-step explanation:

To solve this problem let us first find (fog)(x), or find <u>the function of f(x) in terms of g(x)</u>. All we have to do is replace <em>x</em> 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.

<u>Therefore, the degree of (fog)(x) is 4.</u>

<u />

<em>I hope this helps! Let me know if you have any questions :)</em>

You might be interested in
Linda wants to buy 2 sweaters and a pair of sunglasses at wild orchids. each sweater costs the same amount. the sunglasses cost
GarryVolchara [31]

Answer:

d

Step-by-step explanation:

IF there are 2 sweaters for the cost of s but then she bought 12$ sunglasses then and she wants to know the amount in total, then the answer sould be D. 2s+12=c to get the cost

8 0
3 years ago
Read 2 more answers
O A
marin [14]

Answer:

XXXZBBZXZBD DZASAADZDAZBDDABA

Step-by-step explanation:

JUJKJK8E48KK4686K6KU88BHYN6U56RTFHBGQ4TRFV2C LIQ2H4FRBWR;GVF32;PGF;W4TRCFIHPBX$WAZç

7 0
1 year ago
What is the value of the expression<br> 2 1/4 * (3/2 - 3/4) + (2/8 / 1/2)?
pantera1 [17]

Answer: 35/16

Step-by-step explanation:

7 0
3 years ago
Justin is redoing his bathroom floor with tiles measuring 6in by 13 in. the floor has an area of 8,500 in². what is the least nu
enyata [817]
He will need 109 tiles
7 0
3 years ago
Read 2 more answers
Mark Shaughnessy purchased a $4,250 bond at 91.50 that pays 7% interest. What was the cost of the bond?
Mrrafil [7]
Bond Cost=Face Value×Percent
Bond cost=4,250×0.915=3,888.75
3 0
3 years ago
Read 2 more answers
Other questions:
  • HELP ASAP PLZ RADIANS AND DEGREES
    10·1 answer
  • A guy rides his bike 2000 meters in 5 minutes how many meters does it travel in 1 minute
    9·2 answers
  • I hope the picture is clear ^^<br>can anyone please help me with this
    9·1 answer
  • A furniture shop refinishes cabinets. Employees use one of two methods to refinish each cabinet Method I takes 1 hour and the ma
    15·2 answers
  • this is fractions casey shared a pizza with some friends.they each ate 1 third of the pizza. how many people shared the pizza
    13·1 answer
  • How do you solve: x-27=62<br> I also need the answer
    5·2 answers
  • 3 ISINT RIGHT!!!!<br> Please give me an answer!!
    7·1 answer
  • Which of the following functions best describes this graph?
    15·1 answer
  • Round each number to the nearest ten and estimate the sum.
    10·1 answer
  • How can I find the dimensions that equal 36?​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!