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
iragen [17]
3 years ago
5

I can’t figure out the answer to this, does anybody know?

Mathematics
1 answer:
Serggg [28]3 years ago
5 0

Answer:

Option (2).

Step-by-step explanation:

Let f(x) and g(x) are the two functions with domain A and B.

Then (fg)(x) will be the function with domain A∩B

(fg)(x) = f(x)g(x)   Domain : A∩B

In this question two functions are,

c(x) = \frac{5}{(x-2)} and d(x) = (x + 3)

Domain : (x - 2) > 0 ⇒ x > 2

              and (x - 2) < 0 ⇒ x < 2

Or domain of (cd)(x) will be C = (-∞, 2)∪(2, ∞).

Similarly, d(x) = x + 3

Domain : All real numbers

             : D = (-∞, ∞)

(cd)(x) = c(x)d(x)

          = \frac{5}{(x-2)}\times (x+3)

Domain of (cd)(x) will be,

Domain : C∩D = (-∞, 2)∪(2, ∞) ∩ (-∞, ∞)

             : (-∞, 2) ∩ (2, ∞)

Therefore, domain of (cd)(x) will be all real values except 2.

Option (2) will be the answer.

You might be interested in
(WILL GIVE BRAINLIEST) Which of the following exponential functions goes through the points (1, 6) and (2, 12)?
olganol [36]

Answer:

\boxed{a. \: f(x) = 3(2)x} \: is \: correct

Step-by-step explanation:

if \: the  \: points \: are \:  (1, 6) \:  and  \: (2, 12) \to \\ then \to \\ m =  \frac{12 - 6}{2 - 1}  =  \frac{6}{1}  \\  \boxed{m = 6} \\ y - 6 = m(x  - 1) \\ y = 6x - 6 + 6 \\ y = 6x = (3)(2)x \\ but \: y = f(x) \to \: hence \to \\ \boxed{ f(x) = 3(2)x}

4 0
3 years ago
What is the multiplicative rate of change of the function shown on the graph? Express your answer in decimal form. Round to the
allsm [11]
In linear models there is a constant additve rate of change. For example, in the equation y = mx + b, m is the constanta additivie rate of change.


In exponential models there is a constant multiplicative rate of change.


The function of the graph seems of the exponential type, so we can expect a constant multiplicative exponential rate.


We can test that using several pair of points.


The multiplicative rate of change is calcualted in this way:

 [f(a) / f(b) ] / (a - b)

Use the points given in the graph: (2, 12.5) , (1, 5) , (0, 2) , (-1, 0.8)

[12.5 / 5] / (2 - 1) = 2.5


[5 / 2] / (1 - 0) = 2.5


[2 / 0.8] / (0 - (-1) ) = 2.5


Then, do doubt, the answer is 2.5





6 0
3 years ago
Read 2 more answers
What are the possible values for x in the equation 4x^2=64
Degger [83]

                                  <u> 4 x²  =  64</u>

Divide each side by  4 :     x² = 16

Take the square root
of each side:                     x = √16

                                   x = <em>+ 4</em>
and
                                   x = <em>- 4</em> .


4 0
3 years ago
Read 2 more answers
Given that cosA = -8/17  and sinA is negative, determine the value of tanA.​
borishaifa [10]

Answer:

tan A = -15/8.

Step-by-step explanation:

sin^2a = 1 - cos^2A

= 1 - (-8/17)^2

= 225/289

So sin A= 15/17

tan A = sin A / cos A

=  15/17 / -8/17

= 15/-8

= -15/8.

5 0
3 years ago
Complete the steps to simplify^5√4 x √2 . Rewrite using rational exponents.
ozzi

The answer is 2^(9/10). I did it assuming with the ^5 you mean the 5th root of 4

7 0
2 years ago
Read 2 more answers
Other questions:
  • Which number is the additive inverse of -4 and 1/4 of a -4 1/4 b -1/4 c 1/ 4 d 4 1/4. What's the answer
    10·1 answer
  • What is the place value of 7 in 3.567
    9·2 answers
  • Please Help!
    12·1 answer
  • Someone that's good at 3.14 pie help ????
    15·1 answer
  • Pls i need help in this
    8·1 answer
  • dnw snow storm Francisco had 17 inches of snow on his lawn.the temperature then increased in the snow begin to melt at a consist
    10·1 answer
  • When all of the reindeer fly at night, they might experience extreme temperature changes as they fly from state to state. They s
    11·1 answer
  • HELP AS FAST AS YOU CAN PLEASE!!!!!
    5·2 answers
  • I need an answer quick plz
    8·2 answers
  • Solveeeeeeeeeeeeeeeeeeee
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!