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
insens350 [35]
3 years ago
12

If the function f(x) has a domain of (g,h) and a range of (j,k), then what is the domain and range of g(x) = m(f(x)] + p?​

Mathematics
1 answer:
sertanlavr [38]3 years ago
3 0

Answer:

Dom\{g(x)\} = Dom\{f(x)\} = (g, h).

Ran \{g(x)\} = (m\cdot j+p,m\cdot k +p)

Step-by-step explanation:

From Mathematics we remember that the domain of a functions corresponds to the set of values of the independent variable (x in this case) so that images exist and the range of a function is the set of images.

In this case, we know the domain and range of f(x) and we must find the domain and range of g(x).

Domain

The domain of g(x) is the domain of f(x). That is, Dom\{g(x)\} = Dom\{f(x)\} = (g, h).

Range

We have to define the bounds of the range of g(x), given that range f(x) is modified by streching and horizontal translation operations:

Lower bound (f(x) = j)

g(x) = m\cdot j +p

Upper bound (f(x) = k)

g(x) = m\cdot k +p

In consequence, the range of g(x) is Ran \{g(x)\} = (m\cdot j+p,m\cdot k +p)

You might be interested in
I have a bag of 4 cotton candy lollipops 3 cherry 6 butterscotch and 1 orange what is the probability of randomly choosing a cot
lorasvet [3.4K]

Answer:

= 1/2

Step-by-step explanation:

From the question: 1 bag contains

4 cotton candy lollipops

3 cherry lollipops

6 butterscotch lollipops

1 orange lollipops

Total number of possible outcomes =

14

The probability of randomly choosing a cotton candy or orange lollipops is calculated as:

P(Cotton candy) + P(Orange)

= 4/14 + 3/14

= 7/14

= 1/2

4 0
3 years ago
0.9 of Karen's Science score is equal to 0.75 of her Math score and 0.8 of her Chemistry score. Given that Karen scored 96 marks
DochEvi [55]

You have to formulate equations for this problem.

Let S = Science score

      M = Math score

       C = Chemistry score

To illustrate the given:

0.9S = 0.75M

0.9S = 0.8C

You are given that Karen’s Math score is 96 marks. You have to substitute the Math score to the first equation.

0.9S = 0.75(96)

0.9S = 72

S = 80

Therefore, Karen’s Science score is 80. Now, you have to substitute the Science score to the second equation.

0.9(80) = 0.8C

0.8C = 72

C = 90

So, Karen’s Chemistry score is 90.

Therefore, the total score of the 3 subjects is 266 (96 + 80 + 90).

5 0
3 years ago
It says to use rounding or compatible numbers to estimate the sum.<br> first problem is 24 + 8
KonstantinChe [14]
The estimated sum is 30.
4 0
3 years ago
What is the surface area of the cylinder? Use 3.14 for pi and round your answer to the nearest hundredth.
juin [17]
Find the diameter then multiply by pi
8 0
3 years ago
I need help with Standard Deviation!
Naily [24]
<span>A: The middle 95% contain between 23.8 and 24.2 oz.(2 SDs under and over the mean) B: Approximately 68% of boxes have between 23.9 and 24.1 oz of cereal (1 SD under and over the mean) C: 2.5% of boxes contain more than 24.2, because 95% are within 2 SDs, and that includes lower and higher extremes. D: 16% of boxes have more than 24.1, because 68% are within 1 SD of the mean, so 32 are left, and that includes lower and higher extremes.</span>
3 0
3 years ago
Other questions:
  • What is 12×8÷4 divided by three divided by 4÷10×5
    12·1 answer
  • What is the improper fraction for 2 1/3
    15·1 answer
  • What is a counterexample for the conjecture?
    8·1 answer
  • 1/2 + 1/3= whats the answer
    12·2 answers
  • Label the place value 12,354,897
    13·2 answers
  • from a balloon 1191 feet high, the angle of depression to the ranger headquarters is 72°54'. how far is the headquarters from a
    8·1 answer
  • Which best explains why the equation 4x + 5 = 4x - 1 has no solutions? A. The equation has a variable on both sides. B. The equa
    9·2 answers
  • If you can eat 56 wings in 8 minutes, how many can you eat in 1 minute
    11·2 answers
  • Please help me with this problem​
    14·1 answer
  • Solve c= 5/9(F-32) for F
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!