f(x) = 3√4x
g(x) = 2x + 3
Find ( f/g) (x). Include any restrictions on the domain
Answers
Answer:
B
Step-by-step explanation:
To find [tex](\frac{f}{g} )(x)[/tex] you can write the expression as [tex]\frac{f(x)}{g(x)}[/tex]. We can substitute the f(x) and g(x) into the expression to get: [tex]\frac{\sqrt[3]{4x} }{2x+3}[/tex]. Now we need to find the domain. The numerator is fine, and the domain is all real numbers, but in a fraction, the denominator cannot equal 0. We can write: [tex]2x + 3\neq 0[/tex] and we can solve it:
[tex]2x\neq -3[/tex]
[tex]x\neq -\frac{3}{2}[/tex]
This is the same as option B.
The required function (f/g)(x) is 3√4x/2x+3 where x ≠ -3/2. Option C is correct
Given the functions
f(x) = 3√4x
g(x) = 2x + 3
We are to find the resulting function (f/g)(x)
(f/g)(x) = f(x)/g(x)
(f/g)(x) = 3√4x/2x+3
Restriction to the function occurs at the point where the denominator is zero.
2x = 3 = 0
2x = -3
x = -3/2
Hence the required function (f/g)(x) is 3√4x/2x+3 where x ≠ -3/2
Learn more here: https://brainly.com/question/11187697
Related Questions
1. There are 3,768 books on the library wall.
There are 24 rows of books, each with an equal
number of books. How many books are in each
row?
Answers
Answer:
157 books in each row
Step-by-step explanation:
24 rows=3768 books
1 row=3768/24 books
=157 books
Therefore,Each row contains 157 books
Mark this answer as brainliest....
Which equation represents the relationship between X and Y shown in the table?
Answers
Answer:
y= 2x-3
Step-by-step explanation:
to find the slope you use rise over run to get 2. to check to see the correct equation replace x with any of the x values in the chart and if you get the same y values as the chart then your equation is correct.
What is the mode of 7 3 3 6 3 7
Answers
Answer:
3
Step-by-step explanation:
3,3,3,6,7,7
the mode is the number the occurs the most and 3 is there 3 times so it is the mode
Answer:
3
Step-by-step explanation:
Since 3 occurs the most in the set of data, it is the mode.
Mode: The mode is the value that appears most frequently in a data set.
I hope this helps! Have a great day! :)
a food company can produce 732,291,285crackers per hour. A second food company can produce 732,341,285 crackers per hour.Which company can produce more crackers per hour. explain how you found your answer
Answers
Answer:
the second company
Step-by-step explanation:
the second company produces 50,000 more crackers an hour than the first company
someone please help me
Answers
Answer:
the answer is 35 mi
Step-by-step explanation:
28 squared = 784
21 squared = 441
784+441 = 1225
Square root of 1225 is 35
Carson = C
Hanford = H
Ridgewood = R
CR²=CH²+HR² <=>
<=> CR²=28²+21²=1225 <=> CR=√1225=35
How many pints are in 5 gallons? Enter only a number. Do not include units.
The solution is____
Answers
Answer:
0 because it's purified water :)
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
answer is right there, you only asked for a number.
A stack of 14 cookies is 23.1 centimeters high. How thick is each cookie?
Answers
I searched it up
Is pop or country your favorite type of music?
Change This into a neutral question
Answers
which expression is equal to 45 x 4-7: 4-2?
Answers
Answer:
12
Step-by-step explanation:
if x equals to 6 than
6+6=12
Find the measure of the angle, round to the nearest tenth: Sin X = .7547
Answers
X = INVERSE-SIN(.7547)
X = 49.0 degrees
hellpppppppppspspspspspspsp
Answers
I'd say 13, hope this helps
Step-by-step explanation:
PYTHAGOREAN THEOREM !! DONT NEED U TO EXPLAIN JUST GIVE ANSWER DONT HAVE TIME FOR THAT !
Answers
Answer:
√14 or 3.74
Step-by-step explanation:
_________________
Answer:
√14 or 3.74
Step-by-step explanation:
x = 3.74
In a psychology class, 60 students have a mean score of 96.9 on a test. Then 19 more students take the test and their mean score is 71.3.
What is the mean score of all of these students together? Round to one decimal place.
Help please, and thank you! C:
Answers
Answer:83.3
Step-by-step explanation:
Help please first person to answer it right gets Brainliest
Answers
Answer:
its the first one
Step-by-step explanation:
HELPP IMA GIVE YOU 15 POINTS
For which data-generating process would a binomial distribution be an appropriate model?
A.flipping a coin to decide whether test subjects should use their left or right hand
B.randomly choosing a letter of the alphabet to pick the first names of test subjects
C.spinning a three-part spinner to decide whether each trial subject should be a child, an adult, or a senior
D.spinning a four-part spinner to decide whether survey customers should be from eastern, southern, midwestern, or western states
Answers
Answer:
A. flipping a coin to decide whether test subjects should use their left or right hand
Step-by-step explanation:
Since a coin has two outputs: heads or tails, it it has a binomial distribution
4) To estimate the height of your home, you measure its shadow. The shadow of your home is 5.5 feet.
The shadow of the 10 foot tree has a shadow of 2.5 feet. Find the height of your home. Show all work.
Answers
Answer:
1.375 ft
Step-by-step explanation:
10/2.5 = 4
5.5 / 4 = 1 1.5/4 = 1 3/8 = 1.375 ft
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The quality-control manager at a compact flourescent light bulb factory wants to test the claim that the mean life of a large shipment of cfls is equal to 6500 hours. the population standard deviation is 500 hours. a random sample of 50 cfls indicates a sample mean life of 6,700 hours and sample standard deviation is 600 hours.
Critical values, where P(Z > Z) - a and P(t >) - a 2016-1282 20.06-1645 20.02 -1.960 10.10. - 1.299 10.06.45 - 1677 foto - 2010 1.115 pt.
a. At the 0.05 level of significance, is there evidence that the mean life is different from 6,500 hours?
b. Compute the p value and interpret its meaning.
c. Construct a 95% confidence interval estimate of the population mean life of the CFLs.
d. Compare the results of (a) and (c). What conclusions do you reach?
Answers
Answer:
a. At the 0.05 level of significance, there is evidence that the mean life is different from 6,500 hours.
b. The p value= ≈ 0.00480 for z- test which is less than 0.05 and H0 is rejected .
The p value= 0.006913 for t- test which is less than 0.05 and H0 is rejected for 49 degrees of freedom.
c. CI [6583.336 ,6816.336]
d. The range of CI [6583.336 ,6816.336] tells that the cfls having a different mean life lie in this range.
Step-by-step explanation:
Population mean = u= 6500 hours.
Population standard deviation = σ=500 hours.
Sample size =n= 50
Sample mean =x`= 6,700 hours
Sample standard deviation=s= 600 hours.
Critical values, where P(Z > Z) =∝ and P(t >) =∝
Z(0.10)=1.282
Z(0.05)=1.645
Z(0.025)=1.960
t(0.01)(49)= 1.299
t(0.05)= 1.677
t(0.025,49)=2.010
Let the null and alternate hypotheses be
H0: u = 6500 against the claim Ha: u ≠ 6500
Applying Z test
Z= x`- u/ s/√n
z= 6700-6500/500/√50
Z= 200/70.7113
z= 2.82=2.82
Applying t test
t= x`- u /s/√n
t= 6700-6500/600/√50
t= 2.82
a. At the 0.05 level of significance, there is evidence that the mean life is different from 6,500 hours.
Yes we reject H0 for z- test as it falls in the critical region,at the 0.05 level of significance, z=2.82 > z∝=1.645
For t test we reject H0 as it falls in the critical region,at the 0.05 level of significance, t=2.82 > t∝=1.677 with n-1 = 50-1 = 49 degrees of freedom.
b. The p value= ≈ 0.00480 for z- test which is less than 0.05 and H0 is rejected .
The p value= 0.006913 for t- test which is less than 0.05 and H0 is rejected for 49 degrees of freedom.
c. The 95 % confidence interval of the population mean life is estimated by
x` ± z∝/2 (σ/√n )
6700± 1.645 (500/√50)
6700±116.336
6583.336 ,6816.336
d. The range of CI [6583.336 ,6816.336] tells that the cfls having a different mean life lie in this range.
20 men can complete a piece of work in 24 days how many men should be subtracted to finish the work in 32 days?
Answers
Answer:
5 men should be subtracted.
Step-by-step explanation:
This question is solved by proportions, using a rule of three.
As these measures(number of men needed and time) are inversely proportional, we multiply the lines instead of cross multiplication.
How many men should be working to complete the work in 32 days?
20 men - 24 days
x men - 32 days
Then
[tex]32x = 20*24[/tex]
[tex]x = \frac{20*24}{32}[/tex]
[tex]x = 15[/tex]
How many men should be subtracted?
There are 20 to complete in 24 days.
15 are needed to complete in 32 days.
20 - 15 = 5
5 men should be subtracted.
Please help me
Find the circumference and the area of this shape
I'll give brainliest
Answers
Area = 176.7
What is the surface of the triangluar prism shown below
Answers
Answer: 36 ft^2
Step-by-step explanation: 4x3/2=6. 6x2=12. 3x2=6. 4x2=8. 5x2=10. 12+8+6+10=36
how to solve -x^2-2x+1
Answers
Answer:
Common factor
Factor by grouping
Factor by grouping
−
2
−
2
+
1
-x^{2}-2x+1
−x2−2x+1
−
1
(
2
+
2
−
1
)
{\color{#c92786}{-1(x^{2}+2x-1)}}
−1(x2+2x−1)
Solution−
-1(x²+ 2x-1 )
In the figure below, EC || AB. Find the length of EC.
Select the best choice from the answers provided.
A.) 12.5
B.) 18
C.) 25
D.) 39.6
Answers
Answer:
Letter a)
Step-by-step explanation:
quizlet
Construct an equation for the expression: 3 less than 2 times a number is 7. Show the solution to the equation and prove your solution to be true through your work.
Answers
Answer:
5 x 2 -3 = 7
Step-by-step explanation:
i mean.... thats all
In the figure below, UV is best described as _____.
Answers
Answer:
Segment
Step-by-step explanation:
Its only part of the line.
Answer:
The answer is ray
Step-by-step explanation:
Please help me!!!!!!!!!!!!!!!!!!
Answers
Answer:
6. peach , plum, crab apple
7. pepper tree, common apple, pear
8. because the graph is lowered And that the boxes are needed to go higher to get to the other numbers and the graph is misleading and etc.
9. black cherry, magnolia, live oak, sweet cherry.
10.because the graph is lowered And that the boxes are needed to go higher ot get to the other numbers and the graph is misleading
Step-by-step explanation:
I don't really understand 8 and 10 so this all i got
You roll 2 dice and flip a coin. What's the probability of getting two 4's and a tails?
Answers
Answer:
2/4
Step-by-step explanation:
54 kilometers equal – metres.
Answers
[tex]\huge\mathfrak\blue{AnSwEr} [/tex]
[tex] \sf{54 \: km \: = 54000 \: meters}[/tex]
HELP
WILL GIVE BRAINLIST
FOR MATH
...
.
.
.
.
.
.
Answers
Answer:
20 cyclists
Step-by-step explanation:
In 2007 only two bikes are there which mean only 20 cyclists participated and that is the least amount out of all years
Answer:
if each bicycle is ten go by multipls of 10
it's in 2007
and of you count by 10 that's 20
swag on ha dragga dab dab dab
Answers
Answer:
8 1/2
Step-by-step explanation:
What is the area of the triangle?
Answers
Answer:
21
Step-by-step explanation:
Add 5.3 + 1.7 and you get 7 (7 is the base of the triangle). Multiply 7 by the height (6) and you get 42. When you put 2 triangles together, it will create a quadrilateral. "Cut the quadrilateral in half" and you will get your triangle's area. The area is 21 :)
Answer:
53.9 square units was my answer, but I learned that it was 21 !