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
Rudiy27
3 years ago
5

Please help!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
elena55 [62]3 years ago
8 0

h(x)=(f\circ g)(x)\\\\h(x)=\sqrt[3]{x+3};\ f(x)=\sqrt[3]{x+2}\\\\h(x)=\sqrt[3]{x+1+2}=\sqrt[3]{(x+1)+2}=\sqrt[3]{g(x)+2}\to \boxed{g(x)=x+1}

-----------------------------------------------------------------------------------------------

f(x)=2x;\ g(x)=2x-1;\ h(x)=\sqrt{x}\\\\(f\circ g\circ h)(9)=?\\\\h(9)=\sqrt9=3\\\\(g\circ h)(9)=g(3)=2(3)-1=6-1=5\\\\(f\circ g\circ h)(9)=f(5)=2(5)=10\\------------------------------\\other\ method:\\\\(f\circ g\circ h)(x)=2(2\sqrt{x}-1)=4\sqrt{x}-2\\\\(f\circ g\circ h)(9)=4\sqrt9-2=4(3)-2=12-2=10

-------------------------------------------------------------------------------------------------

f(x)=4x+1;\ g(x)=x^2-5\\\\(f\circ g)(4)=?\\\\g(4)=4^2-5=16-5=11\\(f\circ g)(4)=f(11)=4(11)+1=44+1=45\\----------------------------------\\other\ method:\\\\(f\circ g)(x)=4(x^2-5)+1=4x^2-20+1=4x^2-19\\\\(f\circ g)(4)=4(4)^2-19=4(16)-19=64-19=45


You might be interested in
A study was done that looked at how much red meat people consumed and how long they lived. The correlation r was found to be 0.9
AVprozaik [17]

Answer:

False

Step-by-step explanation:

Since the correlation r was found to be 0.98 (a value closer to 1).  

Let X =how much red meat people consumed

let Y = how long they lived.

where the x-values are the values of the deviations of co-ordinates X from Xₙ, their mean value and the y-values are the values of the deviations of co-ordinates Y from Yₙ, their mean value.

That is, x=(X−Xₙ) and y=(Y−Yₙ).

The results of this determination give values of r lying between +1 and −1, where;

+1 indicates perfect direct  correlation,

−1 indicates perfect inverse correlation and

0 indicates that no correlation exists.

Between these values, the smaller the value of r, the less is the amount of correlation which exists.

Generally, values of r in the ranges 0.7 to 1 and −0.7 to −1 show that a fair amount of correlation exists.

therefore, it can be seen that there is a perfect relationship between the quantity eaten and how long the person live

But, the correlation does not consider those that does not consume meat, and it is very hard to determined the answer to the question.

the answer is false because there are other reasons that determined longevity of life apart from meat consumption.

3 0
3 years ago
Please help me, and please explain how you get to the answer.
Sliva [168]

the answer is 16

8^(4/3) can be written in different ways. You can first simplify it by breaking the exponents down into 1/3 and 4. You can write it as (8^1/3)^4 (it still means the same thing). When you raise something to the one over something fraction, the denominator tells you what the root is. Because it says 1/3, it means that you're finding the cube root of something. So you can rewrite it as (3√8)^4 (the three should be sitting on top of the sign to signify that it's cube root). You then just solve from there. The cube root of 8 is 2 (2*2*2=8) so it'll simplify to (2)^4. You then solve it from there and get 16 as your answer (2*2*2*2=16).

5 0
3 years ago
A recent study suggested that 81% of senior citizens take at least one prescription medication. Amelia is a nurse at a large hos
Lady_Fox [76]

Null hypothesis: p = 0.81

Alternative hypothesis: p \ne 0.81

The null is based on a recent study that 81% of the population (in this case senior citizens) takes at least one medication. The alternative hypothesis is basically the flip of the claim made in the null.

If Amelia wanted to know if the percentage was less than 81%, then the alternative would be p < 0.81

If Amelia wanted to know if the percentage was larger than 81%, then the alternative would be p > 0.81

However, she wants to know if the percentage is 81%.

5 0
2 years ago
Can u pls help me with this question asap
Zinaida [17]

Answer:

3.5/1 (or just 3.5)

Step-by-step explanation:

If y = a/n, then the constant proportionality is 3.5/1 or 7/2

Think of this as "rise over run" (we are basically finding the slope)

7 0
2 years ago
Read 2 more answers
What’s 12 away from -6 on a number line?
777dan777 [17]

Answer:

-18

Step-by-step explanation:

you add 12 and six together and you get 18. Then you put a negative sign in front of it

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is 30% of 30???????
    10·2 answers
  • The lines given by the equations y=2x and y=4x+1 are
    12·2 answers
  • A fair coin is tossed repeatedly. What is the probability that three heads in a row will occur before a tail followed by two hea
    12·1 answer
  • Show twelve in four different ways use words pictures and numbers
    10·1 answer
  • Like what is the square root of 35 like what is it a real number? irrational and like that
    15·1 answer
  • PLS HELPPP GEOMETRY!!!!!!
    13·1 answer
  • URGENT PLEASE HELP!!
    13·1 answer
  • PLEASE HELP MEEEE THIS IS DUE IN TEN MINUTES ALSO HOW THE HECK DO YOU CHANGE THE THING THAT SAYS COLLEGE BY UR NAME? IM IN FLIPP
    10·2 answers
  • Evaluate the expression m^2 ∙ m^5 ∙ m^-3. Be sure to write your answer in simplest form.
    14·2 answers
  • Write 3 + 0.3 + 0.01 + 0.002 in standard form.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!