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
Vika [28.1K]
3 years ago
12

H(x)=sqrt(x) and g (x)=4x^2+4, find h(g(sqrt(a))))

Mathematics
1 answer:
ser-zykov [4K]3 years ago
8 0

\begin{cases} h(x)=\sqrt{x}\\ g(x)=4x^2+4 \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ g(\sqrt{a})=4(\sqrt{a})^2+4\implies g(\sqrt{a})=4\sqrt{a^2}+4\implies g(\sqrt{a})=\boxed{4a+4} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ h(~~g(\sqrt{a})~~)\implies h\left( \boxed{4a+4} \right)=\sqrt{4a+4}\implies h(~~4a+4~~)=\sqrt{4(a+1)} \\\\\\ h(~~4a+4~~)=\sqrt{2^2(a+1)}\implies h(~~4a+4~~)=2\sqrt{a+1}

You might be interested in
Which of the following is an example of a subjective​ probability? A. Although College A has never played College B in​ basketba
AlladinOne [14]

Answer:

The answer is option A.

Step-by-step explanation:

Subjective probability is defined as a probability which is derived from a person's own experience or belief without relying on any data or scientific calculation.

In the question, the situation given in option A is an example of subjective probability because the analyst is giving a probability based on his or her own belief without using any data at all.

The other options clearly state the probability is being calculated by relying on observations and data.

I hope this answer helps.

8 0
2 years ago
Convert 8 cubic meters into liters
Anna35 [415]

Answer: 8,000 Liters

Step-by-step explanation:

There are 1,000 liters in 1 cubic meter. So you would just do 8 times 1,000, which is 8,000 liters.

8 0
3 years ago
Read 2 more answers
Plsss help me !!!!
Yuri [45]

Answer:

The enrollment after 5 years is 10,724

Step-by-step explanation:

Generally, we can have the depreciation formula written as follows;

A = P(1 - r)^t

A is the number of enrollment in after a certain number of years t

P is the initial population which is 13,500

r is the rate of depreciation which is 4.5% = 4.5/100 = 0.045

t = 5 years

Substituting these values, we have it that;

A = 13,500(1-0.045)^5

A = 10,723.84

4 0
2 years ago
Who knows how to solve these? I need help!!
Elina [12.6K]
1= 0.25
2=1.12
3= -075
4 0
3 years ago
The average value of all the pennies, nickels, dimes, and quarters in Paula's purse is 20 cents. If she had one more quarter, th
sveta [45]

Answer:

Step-by-step explanation:

The average value of all the pennies, nickels, dimes, and quarters in Paula's purse is 20 cents. If she had one more quarter, the average value would be 21 cents. How many dimes does she have in her purse

7 0
1 year ago
Other questions:
  • A group of 200 workers 15 are chosen to participate in a survey about the number of Miles they drive to work each week.. In this
    11·1 answer
  • a worm is climbing out of a 20 in. hole. The worm climbs 4 inches during each day and at night falls back 10% of the height the
    8·1 answer
  • Which of the following describes a continuous variable?
    10·1 answer
  • Can I convert 10 degrees Celsius / million years to degrees Kelvin / second? I need to multiple this by the ideal gas constant s
    13·1 answer
  • matthew hiked 4 miles in 2 hours. at this same rate what is the total number of miles matthew could hike in 6 hours
    6·1 answer
  • What is 5 + x=6.? <br><br><br><br><br> Mm
    14·2 answers
  • Solve for inequality -6&lt;4x-2≤10
    5·1 answer
  • Find the numbers of faces, edges, and vertices of the solid.
    12·2 answers
  • a man paid $8000 for a car since then ,its value has fallen by 25% calculate the current value please help me​
    14·1 answer
  • A Baker Had 1/3 Cups Of Suger . he Added 1/9 Cups To It Find The Total Number Of Sugar . ( Can Someone Help Me Out)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!