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
Nataly_w [17]
3 years ago
10

Find f(x) and g(x) so the function can be expressed as y = f(g(x)). y =2/x^(2) + 3

Mathematics
2 answers:
professor190 [17]3 years ago
5 0

One <em><u>possible answer</u></em> is:

f(x) = (2/x) + 3 and g(x) = x².

Explanation:

We are to write this equation as y = f(g(x)).  This means we want it to be a composite of functions; in f(x), we take the value of g(x) and use in place of x.

If we let g(x) = x², this means everywhere we see an x in f(x), we will replace it with x².  To make our equation y = 2/x² + 3, working backward we would substitute x for x²; this would give us f(x) = 2/x + 3.

LuckyWell [14K]3 years ago
4 0

We are asked to find f(x) and g(x) so the function can be expressed as y = f(g(x) such that y = y =2/x^(2) + 3. There are many possibilities here but we go to the simplest ones. we can have g (x) = x2 and f(x) is equal to 2/x + 3. 
You might be interested in
I NEED HELP ASAP!!
zzz [600]

Answer:

C. {-5,-4, -3, 1, 2, 5}

Step by step explanation:

We have been given a graph and we are asked to find the domain of the relation represented in graph.

We can see that our graph is a series of unconnected points. Our function represents integer values. So we can see that our graph represents a discrete function.    

Since we know that domain of a discrete function is set of inputs values consisting of only certain values in an interval. .

The set of first value from each of the given points would made domain of our function. Upon looking at our graph we can see that domain of our function is -5,-4, -3, 1, 2 and 5.  

Therefore, option C is the correct choice.


7 0
3 years ago
What is the average rate of change for the function f(x)=3x^2 -5 on the interval −3 ≤ x ≤ −1 ?
Anestetic [448]

Answer:

-12

Step-by-step explanation:

Let b = -1 and a = -3

The average rate of change = \frac{f(b) - f(a)}{b - a}

f(b) = f(-1) = 3(-1)^2 - 5 = 3 - 5 = -2

f(a) = f(-3) = 3(-3)^2 - 5 =27 - 5 = 22

f(b) - f(a) = -2 - 22 = -24

b - a = -1 + 3 = 2

\frac{f(b) - f(a)}{b - a} = -24/2 = -12

4 0
3 years ago
The radius of a circle is 3 meters. What is the circle's circumference?<br> r=3 m<br> Use 3.14 for .
Sunny_sXe [5.5K]
The answer would be 18.84
7 0
3 years ago
I don't know how to do this. Can someone explain how to please?​
Natalija [7]

Answer:

f(5) = -2

Step-by-step explanation:

You look on the x-axis for 5 because f(5) means let x = 5. Then go down to the graph (the red zig-zaggy line) At the red line (you're still directly under the 5) look over to the y-axis to find the value. That's your answer. It is -2. The point (5, -2) is on the red graph.

f(5) = -2

3 0
2 years ago
An isosceles triangle (two sides equal) is placed on top of a square as shown in the picture. If the two equal sides of the tria
Anuta_ua [19.1K]

Answer:

Step-by-step explanation:

it would be 65

3 0
3 years ago
Other questions:
  • In a woodworking class, you need to make five triangles out of plywood. Each triangle has a height of 6 inches and a base of 14
    15·2 answers
  • Which is true of a geometric plane? A) one-dimensional B) two-dimensional C) three-dimensional D) no dimensions, only position
    12·1 answer
  • A local Dunkin Donuts makes blueberry muffins that cost $.69 each. Past experience shows that 15% of the muffins will spoil and
    9·1 answer
  • Help me with this question pls
    8·2 answers
  • Answer the question :)
    12·1 answer
  • Which is more 1 kilometer or 551 meters?
    15·2 answers
  • Please help !!!!! I need to pass
    12·1 answer
  • 10 points!!HELPP ME PLEASE ❗️❗️4. Figure HJKL - Figure PQRS
    7·1 answer
  • Asap 50 points! <br>-3xy = what when x=5 and y= -6<br>answers : <br>-90<br>90<br>-33<br>33​
    8·2 answers
  • The overall regression F-statistic tests the null hypothesis that:____.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!