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
mylen [45]
3 years ago
8

The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except –3. Which

of the following describes the domain of (g o f) (x)?
all real values except x not-equals negative 3 and the x for which f (x) not-equals 7
all real values except x not-equals negative 3 and the x for which f (x) not-equals negative 3
all real values except x not-equals 7 and the x for which f (x) not-equals 7
all real values except x not-equals 7 and the x for which f (x) not-equals negative 3
Mathematics
1 answer:
allochka39001 [22]3 years ago
8 0

Answer:

<em>The last is the correct option</em>

<em>"all real values except x not-equals 7 and the x for which f (x) not-equals negative 3"</em>

Step-by-step explanation:

<u>Domain and Range of Functions</u>

Given the function f(x), the domain of f is the set of all the values that x can take such f(x) exists. The range of f is the set of all the values that f takes.

We have a problem where we have to find the domain of a composite function. Let's recall that being f and g real functions, then

g\circ f=g(f(x))

is the composite function of f and g.

We know the domain of f is the set of all real values except 7, and the domain of g is the set of all real values except –3.

Since f is the innermost function, the domain of the composite function is directly restricted by the domain of f. So, x cannot be 7.

Now, g takes f as its independent variable, and we know the domain of g excludes -3. It can be found that f(x) cannot be -3 because it will cause g not to exist.

Thus, the domain of g\circ f is

All real numbers except x=7 and those where f(x)=-3

The last is the correct option

You might be interested in
What the factor os 12​
Mariana [72]

Answer:

Factors of 12 =1, 2, 3, 4, 6, 12

Step-by-step explanation:

7 0
2 years ago
Giving 15 points for help!
kolezko [41]

Answer: The correct statements are 'The equation 2n = p should be 2p = n' , 'The actual cost of the onions is $3.00 per pound' and 'Potatoes cost $1.50 per pound.'

Step-by-step explanation:

Here, p represents cost of one potato and n represents the cost of one onion.

And, According to the question,  He purchases 6 pounds of potatoes, p, and 3 pounds of onions, n, for $18.

Therefore, 6p +3n = 18    ------(1)

And, Onions cost twice as much as potatoes.

Therefore, n= 2p ---------(2)

Putting the values of n from 2) in equation 1),

we get, 6p+3(2p)=18

⇒6p+6p=18 ⇒ 12p =18 ⇒ p = 1.5 dollar.

Thus cost of one potato= $1.5

And cost of one onion = $ 2× 1.5= $ 3.00

Thus with help of above explanation we can say that Options first, third and fifth are correct.

8 0
3 years ago
Read 2 more answers
Solve for s.<br><br> –9s − 4 = –8s
posledela

Answer:

-s = -4

Step-by-step explanation:

-9s - 4 = -8s = -9s + 8s = -4 = -s= -4

7 0
2 years ago
Emily Dickinson's poetry was rescued for posterity by
mote1985 [20]
I think it might be B. but im not sure.
7 0
3 years ago
Read 2 more answers
Complete the equation of the line through (-6,-5)(−6,−5)left parenthesis, minus, 6, comma, minus, 5, right parenthesis and (-4,-
Alex

Answer:

y = 1/2 x -2

Step-by-step explanation:

rise/run from (-6, -5) to (-4, -4) = 1/2

(rise 1, run 2)

meaning that slope (m) = 1/2

we can now rewrite our points in y=mx + b formatting:

y = mx + b

-5 = (1/2)(-6) + b

-4 = (1/2)(-4)+b

now, let's solve for b

-5 = (1/2)(-6) + b

-5 = -3 + b

-2 = b

-4 = (1/2)(-4)+b

-4 = -2 + b

-2 = b

So, the equation for our line is y = \frac{1}{2} x- 2

hope this helps!! have a lovely day :)

4 0
1 year ago
Read 2 more answers
Other questions:
  • What is the median?
    8·2 answers
  • thrity six cars travel given instrution in four hours in 24 hours x can travel the same disatance if the unit rate is 24 four ho
    6·1 answer
  • Find the product. <br> n(n+3)
    8·1 answer
  • (CO6) From a random sample of 68 businesses, it is found that the mean time that employees spend on personal issues each week is
    14·1 answer
  • Width of an MP3 player
    8·1 answer
  • Which of the following functions is graphed below?<br>​
    5·2 answers
  • Factorise:p/4-q2/16 pls <br><br> help me with it
    13·2 answers
  • A random survey of seventh- and eighth-grade students was conducted to find out how many hours are spent doing homework each nig
    15·1 answer
  • Please find the area of the square I forgot how to do this please help :(
    13·2 answers
  • Amanda is saving to but a new bike that costs $300. Each week she saves $12. Which of the following could be used to determine h
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!