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
xxTIMURxx [149]
3 years ago
10

Given f(x) = V6x and g(x) =

Mathematics
1 answer:
AURORKA [14]3 years ago
4 0

Answer:

8 is the only one that will work

Step-by-step explanation:

(f o g)(x)=f(g(x)).

So this means the x will first be plug into g.

So let's check your choices.

g(6)=1/(6-6)=1/0 so 6 is not in the domain of g which means it isn't in the domain of (f o g).

g(8)=1/(8-6)=1/2  so this is a number so 8 is in the domain of g,

Let's check if 1/2 is in the domain of f.

f(1/2)=sqrt(6*1/2)=sqrt(3) so this is a number so since 1/2 is in the domain of f then 8 is in the domain of (f o g).

g(4)=1/(4-6)=1/(-2)=-1/2 so 4 is in the domain of g,

f(-1/2)=sqrt(6*-1/2)=sqrt(-3) so this is a problem because you can't square root negative numbers so -1/2 isn't in the domain of f, and therefore 4 isn't in the domain of (f o g).

g(2)=1/(2-6)=1/-4=-1/4 so 2 is in the domain of g.

f(-1/4)=sqrt(6*-1/4)=sqrt(-3/2) so again this is a problem because we can't square root negative numbers so -1/4 isn't in the domain of f, and therefore 2 isn't in the domain of (f o g).

You might be interested in
Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
makkiz [27]

Answer:

9a + 6b and 5c - 3d

Step-by-step explanation:

(a)

4a + 7b + 5a - b ← collect like terms

= (4a + 5a) + (7b - b)

= 9a + 6b

(b)

6c + 4d - c - 7d ← collect like terms

= (6c - c) + (4d - 7d)

= 5c - 3d

3 0
3 years ago
Read 2 more answers
Kyla makes a triangular school pennant. The area of the triangle is 180 square inches. The base of the pennant is z inches long.
kykrilka [37]
We can represent the base as z and the height as 2z+6. We are going to use the formula A=1/2*b*h and solve for z
180=1/2*z*(2z+6)
360=2z^2+6z 
0=2z^2+6z-360
0=2(z^2+3z-180)
0=(z+15)(z-12)
So z=-15 and 12 but it must be positive so then the base is equal to 12

When we plug this into 2z+6 we get 30 for the height
2(12)+6=30

Hope this helps
4 0
3 years ago
Determine whether the three segment lengths will produce a triangle. Type yes or no in the space provided.
tresset_1 [31]

Answer:

20 , 20 , 30 will produce a triangle

Step-by-step explanation:

* Lets study how to know if the lengths of the three segments

 can formed a triangle

- It is a fact that in any triangle the sum of the smallest two sides

 must be greater than the largest side

- Lets study some examples

# If the lengths of the three segments are 5 , 6 , 7

∵ 5 and 6 are the smallest

∴ 5 + 6 = 11

∵ 11 > 7 ⇒ the sum greater than the 3rd side

∴ 5 , 6 , 7 can formed a triangle

# If the lengths of the three segments are 5 , 7 , 12

∵ 5 and 7 are the smallest

∴ 5 + 7 = 12

∵ 12 = 12 ⇒ the sum equal the 3rd side

∴ 5 , 7 , 12 can not formed a triangle

# If the lengths of the three segments are 10 , 12 , 24

∵ 10 and 12 are the smallest

∴ 10 + 12 = 22

∵ 22 < 24 ⇒ the sum less than the 3rd side

∴ 10 , 12 , 24 can not formed a triangle

* Now lets solve the problem

∵ The length of the three segments are 20 , 20 , 30

∵ 20 and 20 are the smallest

∴ 20 + 20 = 40

∵ 40 > 30 ⇒ the sum greater than the 3rd side

∴ 20 , 20 , 30 will produce a triangle

5 0
3 years ago
Will give 25 points and brainliest answer if correct
Norma-Jean [14]
Let d be the common difference between terms in the sequence \{a_n\}_{n\ge1}. Then

a_{19}=-58
a_{20}=a_{19}+d
a_{21}=a_{19}+2d
\implies-164=-58+2d\implies d=-53

The first term in the sequence, a_1, satisfies

a_2=a_1+d
a_3=a_1+2d
a_4=a_1+3d
...
a_{19}=a_1+18d
\implies-58=a_1+18(-53)\implies a_1=896

So the explicit formula for the n-th term in the sequence is

a_n=a_1+(n-1)d\implies a_n=896-53(n-1)
5 0
3 years ago
For a recent 41-year period, there were 5,469 major earthquakes; these are earthquakes measuring at least 6.0 on the Richter sca
pychu [463]
Below is the formula:

Probability Formula

<span>Probability of an Event =  </span><span><span>Number of Favorable Outcomes / </span><span>Total Number of Possible Outcomes
</span></span><span>
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

</span>
5 0
3 years ago
Other questions:
  • Karen opens a savings account with $1500. She deposits $100 every month into the account that has a 0.85% interest rate, compoun
    10·2 answers
  • The sum of 9 and 4x is 1.
    8·1 answer
  • How do you simplify a fraction?
    11·1 answer
  • Given the point (-1, 1) and the slope 4, write the equation of the line in slope-intercept
    10·1 answer
  • If f(x) = 4x^2 + 6/ 2 and g(x)= 3/2x^2, find f(x)•g(x)
    5·1 answer
  • Ace pls help me expert or ace from 1 to 30​
    9·1 answer
  • Coach Brown buys packs of Gummi Bears at $0.60 and resales them at $1.00. At what percent did he mark the candy up?
    15·1 answer
  • One–fourth of the candies in a bag of are red. If there are 24 red candies, how many candies are in the bag?
    12·2 answers
  • Determine if these triangles are congruent. If so, state if they are congruent by ASA or AAS.​
    12·2 answers
  • A room is three times as long as it is broad and it's height s 4.5 m. if the cost of carpeting its floor at rs 240 per m square
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!