MATHEMATICS HIGH SCHOOL

Let f(x)=(4x^2-11)^3 and g(x)=4x^2-11. given that f(x)=(h^o g)(x), find h(x).

Answers

Answer 1
Answer: So, f(x) is a composite function. This means that g(x) is inside of h(x); in other words, you would substitute g(x) for x in h(x).

Something happened to g(x) (in the form of h(x)) to turn it into f(x). You should notice that f(x) is simply g(x) raised to the third power.

Therefore, h(x) = x^3

You can check this by working it backwards.

Start with: h(x) = x^3
Substitute: x = g(x) = 4x^2-11
Now you have: h(x) = (g(x))^3 = (4x^2-11)^3

Hope this helps!
Answer 2
Answer:

Answer:

this is the answer

Step-by-step explanation:

Related Questions

An artist is creating a large painting from a photograph by dividing the photograph into squares and dilating each square by a factor of 4. If the photograph is 4 in. by 6in., what is the perimeter of the painting? HELP PLEASE!!
What is the square root of m6?. . m2. m3. m4. m5
Eduardo tiene un terreno cuadrado, su frente está determinado por las coordenadasb (2,3) y (18,3). Si se desea realizar una construcción dentro del terreno, para lo cual se necesita poner una malla a su alrededor. ¿Cuántos metros de malla necesita comprar Eduardo para rodear el terreno completo?
6x+1/2xy=3 please help im confused
Factoriza 4x²-y²-6y-9

A square has a perimeter of 12 cm. What is its area?9 cm 2
18 cm 2
36 cm 2
144 cm 2

Answers

Hey there, the formula is A=a², and P=4a. Let's solve for a, A=1/16p²=1/16*12²=9cm², Therefore, the answer is 9 cm 2

Fred can drink 8 3/4 sodas in 5 minutes at thus rate how many sodas can fred drink in 2mintues

Answers

He can drink 2/5 of the 8  3/4 sodas.

(2)/(5) x 8 (3)/(4) = (2)/(5) x (35)/(4)

The answer is 7/2 or 3 1/2 sodas.

Of course, Fred would be better off is he drank water instead of soda.  :-)

If you had $10,000 dollars to spend what would you spend it on? Would you invest it or would you save it?

Answers

Answer: Save it

Step-by-step explanation:

Circle d has a radius of 21 millimeters and central angle, ∠edf, which measures 60°. find the exact length of . mm 7mm 14mm 42mm

Answers

the length of an arc length can be calculated using the formula:
s = ra
where s is the lenght of the arc
and r is the radius of the circle
a is the central angle in radians

first converts degrees to radians
a = 60 ( pi / 180)
a = pi /3 =1.05

s = 21(1.05)
s = 22 mm is the length of the arc

Answer:

7π mm

Have a good day!

A rectangular ballroom is being carpeted. The room measures 32 feet by 24 feet. If the carpet costs $3.60 per square foot, then what is teh cost of the carpet?

Answers

Answer:

$2764.8

Step-by-step explanation:

32ft * 24ft = 768ft²

1ft² = 3.6

768*3.6 = 2764.8

A cell phone manufacturer chose 200 people at random and asked them whether they would purchase the newest model for $300. The manufacturer repeated this survey using the same method three more times.Do any of the surveys appear to be biased?

Would purchase new model for $300? Survey
1 2 3 4
Yes 127 131 128 133
No 73 69 72 66


A.
Yes, because the results from Survey 1 differ the most from the other surveys’ results.

B.
Yes, because the results from Survey 4 differ the most from the other surveys’ results.

C.
No, because the sampling methods are all different but have about the same results.

D.
No, because all four surveys have about the same number of people saying “yes” and about the same number of people saying “no.”

Answers

Yes, because the results from Survey 4 differ the most from the other surveys’ results.
Other Questions
Jenny spends $4 for breakfast and then $4 for lunch
Which of the following is the same as 2.3 x 10³
18.5ft8.5ft.A=
What is 100000 in word form