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]
2 years ago
15

HEEELP

Mathematics
1 answer:
Drupady [299]2 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
X-1.4=7.82<br><br> Show work
const2013 [10]
You want to isolate x.  To accomplish this, add 1.4 to both sides of your eqn.:

x = 7.82 + 1.4 = 9.22 (answer)
8 0
3 years ago
11. Give two examples of each type of number: real, natural, integers, rational and irrational.
zaharov [31]

Answer:

real:√2, 3,-1, 1/2 etc

natural: 1,2,3,4,5,6.....(0 is not included)

integers:. .............-4,-3,-2,-1,0,1,2,3,4........ etc

rational: nos. which are in p/q form

:1/2,3/4,4/9 etc

irrational: nos. which cannot be written in p/q form

: √2,√3... etc

irrational: √2, √3, √5, √11, √21, π(Pi)

7 0
2 years ago
(2,-4) and (6,2).<br> Find the mid point
Olin [163]

Answer:

The answer is

<h2>( 4 , - 1)</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} )

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(2,-4) and (6,2)

The midpoint is

M = ( \frac{2 + 6}{ 2}  , \:  \frac{ - 4 + 2}{2} ) \\  = ( \frac{8}{2}  \: , \:  -  \frac{2}{2} )

We have the final answer as

<h3>( 4 , - 1)</h3>

Hope this helps you

6 0
3 years ago
Read 2 more answers
Which of the following values of m will result in a true statement when substituted into the given equation?
Solnce55 [7]

Answer:

C. m = 4.1 is the answer

6 0
3 years ago
Lori u there? it's me alex
liubo4ka [24]

Answer:

hi

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • deahawn has a box of crackers shaped in a rectangular prism. The volume of crackers is 432 inches the area of the base 32 inches
    5·1 answer
  • B. X(3,2) L(2,5) W(4,4)
    12·1 answer
  • Sally has a GPA of 3.35. What percentage of the students have a GPA above her GPA? Show all work. (Note: GPA is normally distrib
    15·1 answer
  • *I thought of a number, added 18, then multiplied the result by 8. I got 16. What was my number?
    9·1 answer
  • Write an expression for the sequence of operations described below.
    8·2 answers
  • Can someone please help me with this domain, range and function ws??
    7·1 answer
  • The theme of patriarchal dominance in the Castle of Otranto<br>​
    11·1 answer
  • Sarah's math grade average is 93.3333(repeating)%. What is the repeating decimal part of her grade as a fraction?
    7·2 answers
  • Consider the inequality.<br> What is the solution to inequality
    8·2 answers
  • The perimeter of the rectangle below is 166 units. Find the length of side RS.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!