State the domain of f•g. Then find f•g, including any additional restrictions necessary on the domain of the composition
Answers
Answer:
Answer is option A
Step-by-step explanation:
The required function [f o g(x)] is -7/√(x + 3).
The domain of the function [f o g(x)] > - 3.
What is a function?A function is the relation between two sets. The first one is called domain and the second one is called range.
Given, f(x) = - 7/x
g(x) = √(x + 3)
Therefore, f o g(x)
= f[g(x)]
= f[√(x + 3)]
= -7/√(x + 3)
Now, the domain of f o g(x) > - 3.
Learn more about a function here: https://brainly.com/question/12396459
#SPJ3
Related Questions
The surf instructor has an initial fee of $12 and charges $8 per hour for lessons, which is represented by the equation y = 8x + 12, where x is the number of hours and y is the total cost. The instructor gives 32 hours of lessons a month to Sandra and 24 hours of lessons a month to Bela. What is the total amount the instructor makes in a month?
Sandra: y = 8 (32) + 12. y = 256 + 12. y = 268. The instructor receives 268 dollars a month from Sandra.
The instructor makes $_472_ a month.
Answers
Answer: 472$
Step-by-step explanation:
HELP ME HELP ME please !!! 10 points
Answers
Answer:
4 &15 i think
Step-by-step explanation:
Answer:
slope is rise over run (rise/run) so the slope is 3/2 and y-int is at (0,9)
Step-by-step explanation:
lol i commented it earlier^^^^^
Marcus jogged all the way around a square Park that has an area of four square miles how many miles total did Marcus jog
Answers
Answer:
1.434 miles
Step-by-step explanation:
if 1.5 miles isnt an option select 1 mile
If f(x)=4x−3 and the domain of f is {0, 5, 10}, what is the range of f?
Answers
Answer:
It's the first one
Step-by-step explanation:
What is 427 thousand in scientific notation
Answers
Answer:
4.27x10^2
Step-by-step explanation:
Four bags of chips cost $12. How much do 7 bags of chips cost?
Answers
Answer:
4 bags cost 12 = 3 each bag so 3 x 7 = 21$
Step-by-step explanation:
12/4 = $3 per bag
So 7 bags x $3 = $21
Hope this helped :)
) An object travels 8 miles in 20 minutes at a constant speed. What is the object's speed in miles per hour? *
Answers
Answer:
24 mph
Step-by-step explanation:
Hope this helps
How many solutions to y=2x-3 y=-x+3
Answers
Answer:
One solution, as there is only one intersection between these two lines.
x = 2, and y = 1 (point of interesection (2, 1) )
y = 2x-3
y = -x + 3
first step is to substitute the y of one equation into the other and solve for x.
- x + 3 = 2x - 3
___________
+x. +x
_____________
3 = 3x-3
_____________
+3 +3
____________
6 = 3x
_____________
÷3 ÷3
_______________
2 = x
______________
x = 2
_______________
We can verify this value is true by substituting it back into the equations and as a result also solving for the working y value.
x = 2 -> y = 2(x) - 3
2(2) - 3 = 4 - 3 = 1
y = 1
____________
x = 2 -> y = -(x) + 3
-(2) + 3 = -2 + 3 = 1
y = 1
g(t)=
⎩
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎨
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎧
−2t(t+1)
6
5t
2t
2
+3t
,
,
,
t 12
g
(
12
)
=
g(12)=g, left parenthesis, 12, right parenthesis, equals
Answers
Answer:
HI
Step-by-step explanation:
WHAT IS THAT
Answer:
10 (In khan academy)
Step-by-step explanation:
You bike 16.2 miles in 1.8 hours at a steady rate. What equation represents the proportional relationship between the x hours you bike and the distance y in miles that you travel?
Answers
Answer:
9x
Step-by-step explanation:
You have to subtract both of the numbers and simplify it.
w(x)=5/6x-3;w(x)=-18
Answers
Answer:
x = -18
Step-by-step explanation:
Step 1: Define
w(x) = 5/6x - 3
w(x) = -18
Step 2: Substitute and Evaluate
-18 = 5/6x - 3
-15 = 5/6x
x = -18
What is the fraction 12/30 in simplest form?
Answers
Answer:
2/5
Step-by-step explanation:
You divide 12 by 6 and 30 by 6.
PLEASE MARK BRAINLIEST!!!!
The fraction 12 / 30 in the simplest form is 2 / 5.
How to solve fractions in simplest form?Fractions are numbers that are written in 2 parts: a numerator and a denominator.
The upper part is the numerator while the lower part is the denominator.
Therefore, let's solve the fractions to it simplest form.
Simplified fractions are the fractions in their lowest, reduced and simplest form. In other words, a fraction is said to be in its simplest form if 1 is the only common factor of its numerator and denominator.
Therefore,
12 / 30 ÷ 6 / 6 = 2 / 5
learn more on fractions here: https://brainly.com/question/24612398
#SPJ6
What represents 60=5 x 12?
Answers
Answer:
multiplication
Step-by-step explanation:
4 ( b - 1 ) = -4 + 4b
Answers
Answer:
[tex]4(b - 1) = - 4 + 4b \\ or \: 4b - 4 = - 4 + 4b \\ or \: 4b - 4b = - 4 + 4 \\ or \: 0 = 0 \\ \\ therefore \: the \: answer \: is \: \: 0.[/tex]
0 is the answer.......Thank you ☺️
choose the figures that are polygons
Answers
Answer:
I'm pretty sure figure A is the only one correct and also figure D
Nuts.com sells raw almonds for $8 per pound and roasted pistachios for $9 per pound. Christopher spends $162, before taxes and shipping, to purchase 19 total pounds of nuts. How many pounds of pistachios did Christopher purchase?
Answers
Answer:
The pounds of roasted pistachios nuts Christopher purchases is 10 pounds
Step-by-step explanation:
The given parameters are;
The price of raw almonds at Nuts.com = $8 per pound
The price of roasted pistachios at Nuts.com = $9 per pound
The amount Christopher spends on Nuts = $162
The quantity of nuts Christopher purchase = 19 pounds
Let the pounds of raw almonds nuts Christopher purchases = X and the pounds of roasted pistachios nuts Christopher purchases = Y
∴ $8·X + $9·Y = $162...(1)
X + Y = 19...(2)
Making X the subject of the formula in equation (2), we have;
X = 19 - Y
Substituting the value X in equation (1) gives;
$8·(19 - Y) + $9·Y = $162
$152 - $8·Y + $9·Y = $162
$1·Y = $162 - $152 = $10
Y = $10/($1) = 10
Y = 10 pounds
The pounds of roasted pistachios nuts Christopher purchased = Y = 10
The pounds of roasted pistachios nuts Christopher purchases = 10 pounds
X = 19 - Y = 19 - 10 = 9
X = 9 pounds
The pounds of raw almonds nuts Christopher purchases = X = 9
The pounds of raw almonds nuts Christopher purchases = 9 pounds
The fraction 26/5 is between which two numbers?
Answers
Answer:
25/5 and 27/5
Step-by-step explanation:
26/5 = 4 1/5
26/5 is between 4 and 5.
plz help brainliest to first answer
Answers
Answer:
63° as by calculating the total angles in triangle and by applying geometry shape knowledge
Graph each system. Tell whether the system has no solution or infinitely many solutions.
x+ 2y= 10
2x + 4y= 10
Answers
Answer:
No solution, they will never meet at any point.
Step-by-step explanation:
subtract 65 two times from 180
HELP PLS :)
Answers
Answer:
50
Step-by-step explanation:
180 - 65 = 115----> 115 - 65 = 50
HELP ME PLEASE
after you spend this amount time on deductibles, co-payments, and co-insurance for in-network care and services, your health plan pays 100% of the costs of covered benefits
A. co-insurance
B. premium
C. policy
D. max out of pocket
Answers
Answer:
i think its co-insurance
Step-by-step explanation:
the percentage you must pay for care after you've met your deductible
Two sides of a rectangle are the same length, r. The other two sides are each 4 meters.
The perimeter of the rectangle is 26 meters,
Write an equation that represents
the situation.
Answers
Answer:
4 times 4 plus 10
Step-by-step explanation:
there are waaaay more ways than just this there is
( 8 times 2 ) plus ( 5 times 2 )
and
( 5 plus 5 ) plus 16
plz mark me as brainiest
Answer:
equation= 2r+8=26
r = 9
Step-by-step explanation:
i got this lesson that's the answer.
2r+8=26
-8 -8
2r = 18
18/8 = 9
r=9
Help!!! Explain too please
Answers
Answer:
5 cm/s
Step-by-step explanation:
The rate of change (ROC) is the speed at which the y variable (hieght) increases with the x variable (time). so ROC = 5.
the linear equation is y = mx + b, m is also the roc, b is the initial value, so,
if y = 60, x = 4 & b = 40, then making m the subject of equation will give the value of the ROC. i.e m = (y - b)/x = (60 - 40)/4.
Which equation represents a line perpendicular to the line shown on the graph?
On a coordinate plane, a line goes through (0, 8) and (2, 0).
y = 4 x minus 1
y = negative 4 x + three-fifths
y = one-fourth x + 5
y = negative one-fourth x minus 1
Answers
Answer:
y=4x+4
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Find the measure of x in each figure. (Look at photo)
Answers
Answer:
x = 20
Step-by-step explanation:
these angles are supplementary, which means they add up to 180°
using this, you can make the following equation:
6x + 60 = 180
subtract 60 from both sides of the equation
6x + 60 - 60 = 180 - 60
6x = 120
divide both sides of the equation by 6
6x/6 = 120/6
x = 20
8 added to f is the same as 385
Write the sentence as an equation
Answers
Answer:
8 + f = 385
Step-by-step explanation:
8 added to f is the same as 8 + f.
The equal sign is basically "same as"
So 8 + f is "same as" 385.
Answer:
377
Step-by-step explanation:
8 + f = 385
subtract 8 from 385
385 - 8 = f
f = 377
What is the slope and equation of the graph?
Answers
Answer:
Looks like the slope is -(1/2) and the equation is y= -(1/2)x + 1
a petting zoo has 5 lambs 11 rabbits 4 goats and 4 piglets. find the ratio of goats to the total number of animals. write the ratio in the simplest form then explain its meaning
Answers
Answer:
1:6 or 1/6
Step-by-step explanation:
Because the question asks for the goats to the total number of animals, you have to write the ratio in the same order. So, there are 4 goats, and to find the total number of animals, you just add every number.
5+11+4+4=24
The result would be 4:24, and because you need the ratio in the simplest form, you just divide both sides by the same greatest number. Both 4 and 24 can be divided evenly by 4. So, when you simplify, the answer comes out as 1:6. (Ratios can also be written as fractions, just so you know!! For example, the ratio 1:6 can be written as 1/6; both answers would be correct.)
Hope this helps!!!! Have an amazing day :3
Approximate the mean of the grouped data for the ages of the residents of a town.
The approximate mean age is years.
(Round to one decimal place as needed.)
Age
0-9
10-19
20-29
30-39
40-49
50-59
60-69
70-79
80-89
Frequency
57
73
39
65
60
47
37
13
18
Answers
Answer:
The mean age of the frequency distribution for the ages of the residents of a town is 43 years.
Step-by-step explanation:
We are given with the following frequency distribution below;
Age Frequency (f) X
0 - 9 30 4.5 135
10 - 19 32 14.5 464
20 - 29 12 24.5 294
30 - 39 20 34.5 690
40 - 49 25 44.5 1112.5
50 - 59 53 54.5 2888.5
60 - 69 49 64.5 3160.5
70 - 79 13 74.5 968.5
80 - 89 8 84.5 676
Total 242 10389
Now, the mean of the frequency distribution is given by the following formula;
Mean =
= = 42.9 ≈ 43 approx.
Hence, the mean age of the frequency distribution for the ages of the residents of a town is 43 years
Julissa has loan of $46,680. This loan has a simple interest rate of 4% per year. What is the amount of interest that Julissa will be charged on this loan at the end of one year? i need it now please
$18, 672
$1,867.20
$11,495
$48,547.20
Answers
Answer:
A
Step-by-step explanation: