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
stiks02 [169]
3 years ago
15

HEEELP

Mathematics
1 answer:
Drupady [299]3 years ago
5 0

Answer: (c)

Step-by-step explanation:

Given

f(x)=\dfrac{1}{x-3}\\\\g(x)=\sqrt{x+5}

Here, \sqrt{x+5}\ \text{is always greater than equal to 0}\\\Rightarrow x+5\geq 0\\\Rightarrow x\geq -5\quad \ldots(i)

To get f\left(g(x)\right), replace x in f(x) by g(x)\ \text{i.e. by}\ \sqrt{x+5}

\Rightarrow f\left(g(x)\right)=\dfrac{1}{\sqrt{x+5}-3}\\\\\text{Denominator must not be equal to 0}\\\\\therefore \sqrt{x+5}-3\neq0\\\Rightarrow \sqrt{x+5}\neq 3\\\Rightarrow x+5\neq 9\\\Rightarrow x\neq 4\quad \ldots(ii)

Using (i) and (ii)  it can be concluded that the domain of f\left(g(x)\right) is all real numbers except 0.

Therefore, its domain is given by

x\in [-5,4)\cup (4,\infty)

Option (c) is correct.

You might be interested in
Helppppppp pleaseeeeeee
pshichka [43]

Answer:

(2a, 2b)

Step-by-step explanation:

(0, 2b)

(2a, 0)

(2a, 2b)

I racked my brain for that.

4 0
3 years ago
Can someone help me with this?
KatRina [158]

Answer:

Step-by-step explanation:

If you write 1 instead of y, x would be 5/8 so ratio is 1/5:8=8/5

7 0
2 years ago
(-2/3) to 2nd Power - 3/4 (2 1/3)<br><br> Will give out 50+25 pts and Brainliest Answer
trasher [3.6K]
I think the answer is -47/36

5 0
3 years ago
Read 2 more answers
Which expression is equivalent to negative 32 5/3?
Sloan [31]
Im confused. Its not equal to any of the choices

Unless C  is the cube root of 32^5.

 [t3] \sqrt[n]{x} [32^5]
6 0
3 years ago
What is the solution for <br> -2(x-5)=4
tiny-mole [99]
The answer to your question is x=3
6 0
3 years ago
Read 2 more answers
Other questions:
  • When 47 is added to a number the result is 37 less than 7 times the number.
    13·1 answer
  • Write your answer to the following question on the whiteboard. Show all your work
    14·1 answer
  • If y varies inversely with x, and y is 8 when x is 5, find y when x is 2.
    7·1 answer
  • Mike has 19 golf balls. Fred has 3 times as many. Rayhas half as many balls as Fred and mike combined.how many golf balls do the
    6·2 answers
  • Alexa drew AB on a piece of a paper, and then folded the paper so that Point A was on Point B. She claims the crease forms right
    9·1 answer
  • C. The product of two integers is +45. If one of is -9. What is the<br>other?​
    15·2 answers
  • Solution
    13·1 answer
  • IM KINDA CONFUSE SO SOMEONE HELP ME I BEEN SPAMMING QUESTIONSS ALSO PLS DONT STEAL MY POINTS
    9·2 answers
  • Look at the question
    8·2 answers
  • Solve for x <br> answer must be simplified <br> -30&lt; x/-4
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!