Answers
Answer:
It is C.
III is saying that the two functions are inverse functions. If two functions, f(x) and g(x) are inverse, then f(g(x)) = x and g(f(x)) = x. Therefore, we see that if III is true, then I and II should also be true. Now, all we have to prove is that f(x) and g(x) are inverse functions. As we said before, if two functions are inverse, then f(g(x)) = x and g(f(x)) = x.
f(g(x)) = 3([tex]\sqrt[3]{\frac{x-2}{3} }[/tex])^3 + 2
f(g(x)) = 3[(x-2)/3]+2
f(g(x)) = x-2 + 2
f(g(x)) = x
Therefore, we have proved that f(g(x)) = x, and so f(x) and g(x) are inverse functions, and so all of I, II, and III are true. Thus, the answer is C.
fyi, we didn't have to do g(f(x)) because if f(g(x)) = x, then so will g(f(x)).
Related Questions
what is the slope of the line represented by the equation
y= -1/2x +1/4?
a.-1/2
b.-1/4
c.1/4
d.1/2
Answers
Answer:
a). -1/2
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
From the equation of a line, y = mx + c where m is the slope.
product of -3/7a and -21/15b
Answers
Answer:
182857142857/100000000000
Find the value of X please help
Answers
Answer:
x = 119°
Step-by-step explanation:
The angle between chord KJ and chord LM is half the sum of the arcs intercepted by the angle and its vertical angle, that is
[tex]\frac{1}{2}[/tex] (75 + 47)° = 0.5 × 122° = 61°
This angle and x are adjacent angles and sum to 180° , then
x = 180° - 61° = 119°
help meeeeeeeeeeessss
Answers
Answer:
I think its c but just so you know I'm not really smart so I might be wrong
What is the arithmetic mean for 8,10,8,5,4,7,5,10,8
Answers
Answer:
57.8
Step-by-step explanation:
I am sure that this is the answer.
Answer:
57.8
Step-by-step explanation:
8+10+8+5+4+7+5+10+8 ÷9 = 57.8
Hope this helps!
13x=6 what is x in number form please and thank you
Answers
Answer:
0.461538
Step-by-step explanation:
brainlest pls im try to rank up to ace
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{13x = 6}[/tex]
[tex]\huge\textsf{DIVIDE 13 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{13x}{13}=\dfrac{6}{13}}[/tex]
[tex]\rm{CANCEL \ out: \dfrac{13}{13} \ because \ that \ gives \ you \ 1}[/tex]
[tex]\rm{KEEP: \dfrac{6}{13} \ because \ that \ gives \ you \ the \ value \ of \ x}[/tex]
[tex]\boxed{\boxed{\mathsf {Answer: x = \bf \dfrac{6}{13}}}}\huge\checkmark[/tex]
[tex]\boxed{\textsf{or you could say \boxed{\mathsf{x = \underline{\bf 0.461538}}} they both equal to the same thing}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Answer two questions about Equations AAA and BBB: A. 2x-1+3x=0 B.5x-1=0. How can we get Equation BBB from Equation AAA? and is equation A and B equivalent?
Answers
Answer:
you would simplify equation a by combining 2x plus 3x. yes they are equivalent. you can use any x to make the equation true.
Step-by-step explanation:
Answer:
Multiply/divide both sides by the same variable expression
No
4x^2-8x-45=0 how to solve
Answers
Answer:
fo you understand now :))
im confused on how to do this
Answers
Answer:
150
Step-by-step explanation:
Surface area is the area of all the surfaces (or sides). To find the surface area, find the area of one side of the cube. Since a side of a cube is a square, all the lengths are the same. So, 5*5= 25. There are 6 sides to a cube, so multiply 6 by one of the faces 's area (aka sides), so 6*25=150.
Which best describes a triangle
Answers
Answer:
i think the answer may be acute and isosceles
Question 13.
Calculate X + Y
A. 9 12
0 1
B. 9 -12
0 -5
C. 9 -2
-18 -1
D. 9 2
-8 -1
Answers
Answer:
D is your correct answer.
The formula s = StartRoot StartFraction S A Over 6 EndFraction EndRoot gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a cube with a surface area of 480 square meters than a cube with the surface area of 270 square meters
Answers
Answer:
It's B
Step-by-step explanation:
I took the test
Answer:
B= (√30 - 2√5)
Step-by-step explanation:
Please help
A. 5 units
B. 6 units
C. 8 units
D. 10 units
Answers
Answer:
Pretty sure its C?
What is the answer for X-5(x-1)=x(2x-3) ?
Answers
Answer:
1 2/3
Step-by-step explanation:
x-5x+5=2x-3x
-4x+5= -1x
5=3x
5/3=x
1 2/3=x
hi guys i need help
cosx = 3/5
sinx+tanx = ?
Answers
cosx = 3/5
sin²x + cos²x = 1
sin²x = 1- 9/25
sin²x= 16/25
sinx = 4/5
tanx = sinx/cosx
tanx = 4/3
HELP PLEASE What is the area of the regular trapezoid below?
A trapezoid has a base of 10 centimeters, height of 8 centimeters, and top side length of 6 centimeters.
64 Centimeters squared
80 Centimeters squared
240 Centimeters squared
480 Centimeters squared
Answers
Answer:
64 Centimeters squared
Step-by-step explanation:
Formula for the Area of a trapezoid:
A = a+b
----- h
2
a (base) = 6
b (base) = 10
h (height) = 8
6+10 = 16
16/2 = 8
8 times 8 = 64
The equation of the line of best fit is y=3x+2. x=the number of ice cream sales and y= the number of days. Answer the following questions. Show your work as proof.
a. How many days did it take, if the number of ice cream sales is $40?
b. How much ice cream was sold on day 8?
Answers
Step-by-step explanation:
y = 3(40) + 2y = 120 + 2y =122.Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. Together they charged a total of $2475 . What was the rate charged per hour by each mechanic if the sum of the two rates was $200 per hour?
plssssssss help !!!!!!!!!
Answers
Answer:
Rates :
$95 per hour and $105 per hour
Step-by-step explanation:
Let their rate = x and y respectively :
10x + 15y = 2475 - - - - (1)
x + y = 200 - - - - (2)
x = 200 - y - - (3)
Put (3) into (1)
10(200 - y) + 15y = 2475
2000 - 10y + 15y = 2475
5y = 2475 - 2000
5y = 475
y = 95
x = 200 - y
x = 200 - 95
x = 105
Round your answer to the nearest hundredth.
Answers
Answer:
26
Step-by-step explanation:
26
plz help i beg!! 50 points
Answers
Answer:
63.25 sq. ft
Step-by-step explanation:
the area of fig. =
(½×8×6)+(½×3.14×5²)
= 24 + 39.25
= 63.25 sq. ft
Answer:
The area of the figure is 63.25 square feet
Step-by-step explanation:
yes
https://brainly.com/question/14200006
Can someone do this? Ty
Answers
Answer:
Step-by-step explanation:
C) Sarah is trying to say that 72 and 64 are opposite, if 68 is used as the starting point. So from the point 68, 72 is +4 and 64 is -4. 68 is the "baseline" or starting point
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!! NO SCAM LINKS !!!!!!!!!!!!!!!!!!
Answers
Answer:
68.
Step-by-step explanation:
We have adjacent and hypotenuse given.
So, cosФ= adj/hpt
cos inverse=3/8
Ф=67.97=68.
A bag contains 3 apples, 5 oranges, and 2 pears. Determine the probability that you select 2 apples when they are chosen at random with replacement .
A-1/10
B-3/10
c-9/100
d-3/20
Answers
Answer:
PITYPEEPOEPEO
jdskfdslmf
Step-by-step explanation:
fnkasmkml;cmensa
Bryson hopes to win a three-day vacation in a drawing that is being held at his office. He purchased 40 raffle tickets. There were 500 raffle tickets sold. What is the theoretical probability of Bryson winning the trip?
StartFraction 2 over 25 EndFraction
One-fifth
Four-fifths
StartFraction 500 over 40 EndFraction
Answers
Answer:
A is correct 2/25.
Step-by-step explanation:
Thats what answer I got from doing the math
Kaden works 5 days. The median number of hours he works is 3. The mean number of hours he works is 4.
Answers
Answer:
(a) 1, 2, 3, 6, 8
Step-by-step explanation:
Given
[tex]Median = 3[/tex]
[tex]Mean = 4[/tex]
Required
The sequence of hours worked each day
See attachment for options
From the question, we understand that:
[tex]Median = 3[/tex]
This means that, the middle number is 3 (when sorted)
So, we can conclude that (b) and (c) cannot be true because their middle numbers are 6 and 5 respectively
Next, is to determine the mean of (a) and (d)
The mean of a data is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
(a)
[tex]\bar x = \frac{1+ 2+ 3+ 6+ 8}{5}[/tex]
[tex]\bar x = \frac{20}{5}[/tex]
[tex]\bar x = 4[/tex]
(d)
[tex]\bar x = \frac{1+ 2+ 3+ 4+ 5}{5}[/tex]
[tex]\bar x = \frac{15}{5}[/tex]
[tex]\bar x = 3[/tex]
Option (a) is true, because it has:
[tex]Median = 3[/tex]
[tex]Mean = 4[/tex]
can someone pls help
Answers
You are mowing your neighbor's lawn. He is going to pay you $20.00 for the first two hours and $5.00 for anything after that. Which algebraic expression represents how much you will be paid for working h hours?
Answers
Answer: H = 35
Step-by-step explanation:
You do 20.00+5*h
I will give brainliest for correct answer!
Answers
Answer:
you forgot the question
Step-by-step explanation:
Answer:
where is the question? we need the question lol
On January 1, Mario had a savings account balance of $2742 and by April 1, his balance had increased to $3597. Find Mario's average savings rate in dollars per month for that period.
Answers
Answer: $285
Step-by-step explanation:
First and foremost, we should note that from January 1 to April 1 is 3 months. Since Mario had a savings account balance of $2742 on January 1 and by April 1, his balance had increased to $3597. The increase in balance will be:
= $3597 - $2742
= $855
Then the average savings rate will be:
= Total amount saved / Number of months
= $855/3
= $285
He had an average savings of $285 per month.
15x+5=5x+5
12x+9=9x+7
7x+1=x+4
19x+10= 10x+4
5x+4=4x+6
9x+5=5x+4
11x+1=x+8
14x+10=10x+6
Answers
2)x=-2/7
3)x=1/2
4)x=-2/3
Hope This Helps!!! :)
Next Time Please ask your questions one at a time! :)If you need any more help contact me in the comments below.