Find the inverse of f(x) = 6x.
The inverse is
g(x) =
Graph the function and its inverse
Answers
Given:
The function is:
[tex]f(x)=6x[/tex]
To find:
The inverse of the given function, then draw the graphs of function and its inverse.
Solution:
We have,
[tex]f(x)=6x[/tex]
Step 1: Substitute [tex]f(x)=y[/tex].
[tex]y=6x[/tex]
Step 2: Interchange x and y.
[tex]x=6y[/tex]
Step 3: Isolate variable y.
[tex]\dfrac{x}{6}=y[/tex]
Step 4: Substitute [tex]y=f^{-1}(x)[/tex].
[tex]\dfrac{x}{6}=f^{-1}(x)[/tex]
Therefore, the inverse of the given function is [tex]f^{-1}(x)=\dfrac{x}{6}[/tex] and the graphs of these functions are shown below.
Note: The inverse function is [tex]g(x)=f^{-1}(x)[/tex].
Related Questions
find the measure of angles
Answers
Answer:
∠1 & ∠3 = 68°
∠2 & ∠4 = 112°
Step-by-step explanation:
180 degrees is the total sum of the angles in a triangle.
180 - 68 = 112
determine the discount between the point(-4,2) and the line 4y=3×+6
Answers
Answer:
d = 14/5
Step-by-step explanation:
The point (-4,2) means that;
At x = -4, y = 2
Now general form of a linear equation is;
Ax + By + C = 0
We are given;
4y = 3x + 6
Rearranging to the form of a linear equation gives;
3x - 4y + 6 = 0
Thus, A = 3, B = -4 and C = 6
Thus, at point (-4,2), distance between them is;
d = (3(-4) - 4(2) + 6)/√(3² + (-4)²)
d = -14/5
We will take the absolute value.
Thus; d = 14/5
Which best describes independent events? The results of all events have different individual probabilities. The results of any previous events affects the probability of future events. The results of all events have the same individual probability. The results of all previous events do not affect the probability of future events. Mark this and return Save and Exit Nett
Answers
Answer:
the answer is D The results of all previous events do not affect the probability of future events.
The best describes independent events is; The results of all previous events do not affect the probability of future events.
Which pair of events are called independent events?When one event's occurrence or non-occurrence doesn't affect occurrence or non-occurrence of other event, then such events are called independent events.
everything can be almost always related to its reason, when we talk about two related things, there might happen that one of those things is dependent on other.
Therefore, the one that best describes independent events is;
The results of all previous events do not affect the probability of future events.
Learn more about independent variable;
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I need help please
Answers
9514 1404 393
Answer:
W(x) = 27/256(x)(32-x)
Step-by-step explanation:
There are several ways you can do this. The method we've used here is to write a function that has zeros at x=0 and x=32, opens downward, and has a maximum at x=16 of 27.
The zeros give rise to the factored form ...
w = x(x -32)
To make it open downward, we need to reflect this across the x-axis. We can add a leading minus sign, or we can swap the terms in the binomial that has a minus sign:
w = -x(x -32) = x(32 -x)
This will have a value of 16(32 -16) = 256 at its peak. We want the peak to be 27, so we can vertically scale this function by a factor of 27/256. The grap attached shows this gives the desired result.
W(x) = (27/256)(x)(32-x)
ANSWER ASAP I GOVE BRAINIEST AND POINTS
Answers
Answer:
72
Step-by-step explanation:
Volume of a triangular prism = L x B x H x 1 / 2
So in this case itd be
V = 2 x 9 x 8 x 1/2
V = 72 x 1/2
V = 36
Now it wants BOTH prisms and their congruent so
36 x 2 = 72
Answer:
The answer is C.
Explanation:
C is the answer because volume you multiply length times width times height. 9 times 2 time 8 = 144. When you use volume, it is always going to be to the 3rd power or cubed. Any way you say it.
Hope that helps!! If not, please tell me so I could check my work.
calculeaza diferenta nr 824532 si 698845 apoi dubleaza rezultatul.
Cat trebuie adaugat noului rezultat pt a se obtine triplul nr 315078?
Answers
Răspuns:
693860
Explicație pas cu pas:
Diferența dintre: 824532 și 698845
824532 - 698845 = 125687
Dublând rezultatul, r:
2 * 125687 = 251374
Pentru a obține: 3 * 315078 = 945234
Numărul care trebuie adăugat la r, în altul pentru a obține 945234 este:
945234 - 251374 = 693860
Prin urmare, 693860 trebuie adăugat la 251374 pentru a obține (3 * 315078)
OBTAINING ONE HEAD ONLY WHEN A DIE IS
ROLLED AND 2 COINS ARE TOSSED.
Probability
Answers
Answer:
⅓
Step-by-step explanation:
n(s) 1 die & 2 coins = 6×4 = 24
n (event) 1 head = 6 (by die) +2( by coins)
= 8
so, probability P = 8/24 = ⅓
Four classmates collect data by conducting a poll. They ask students chosen at random how many states they have visited . Gabriel interviews 72 students. Morgan interviews 36 students. . Elle interviews 12 students. • Connor interviews 41 students, Whose results are probably the most trustworthy? O A. Morgan's B. Gabriel's C. Elle's D. Connor's
Answers
Answer:
B: Gabriel's
Step-by-step explanation:
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!
Find the surface area of a rectangular prism that has the following dimensions.
length: 4.5 in.
width: 6 in.
height: 12 in.
surface area = ____ in^2
Answers
Answer:
306 maybe :3
Step-by-step explanation:
ESIGNMENTS
COURSES
Assignment - 12. Project. Dividing Fractions Performance Task B
Attempt tous
SECTION 5 of 5
QUESTION 11 OF 11
5
6
7
8
9 10
11
>
Write a division problem that has a quotient of 9/10
At least one of the numbers you give must be a proper fraction. The other can be a proper fraction, whole number, or
improper fraction. Neither the dividend nor the divisor can be 9/10.
UPLOAD
WRITER
Answers
Answer:
I help you if you help me with this |a+5| if a<-5
Step-by-step explanation:
what is A number that when you add 4 and then divide the sum by 2 will equal 6.
Answers
8
To solve, I multiplied 6 by 2 and then subtracted 4 to get 8. I worked backwards.
Without replacement, Pamela will randomly
select 2 tiles from the sack one at a time.
What is the probability that she will select
the letter H first and the letter E second?
Answers
The scatter plot shows the results of a survey conducted by a T-shirt manufacturing company. A line of best fit was found for the data with the equation y -5x + 80, where y is the number of T-shirts sold and x is the price of a T-shirt. 85 70 60 55 50 Number of T-shirts 40 35 30 25 20 15 10 5 0 1 2 3 4 5 6 7 8 9 10 11 Price of a T-shirt (dollars)
Answers
Answer:
A
Step-by-step explanation:
As the price goes up per dollar there is a definite decrease in sales. Specifically, about 5 shirts don't get sold per increase of one dollar.
The correct option is A. for every one dollar price increase of T- shirt, 5 fewer T-shirts were sold.
What is a scatter plot?A scatter plot is a type of data visualization that shows the relationship between different variables. This data is shown by placing various data points between an x- and y-axis. Essentially, each of these data points looks “scattered” around the graph,
Given equation of line for that fits best for scattered data is y -5x + 80
From the graph it is clear that as the slope of the given equation is decreasing one
y -5x + 80 =0
y ∝ -mx
(no. of T-shirts sold) ∝ (-5) × (price of a T-shirt)
So, as the price of the T-shirt increases the less T-shirt were sold.
To know more about scatter plot click here
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Help with math here are photos
Answers
Answer:
Step-by-step explanation:
This was 4 days ago let me guess missing assignments
?
Round to the nearest ten
thousand.
674,312
Answers
Answer:
670,000
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
670,000
Step-by-step explanation:
Here's a tip to help you remeber
5 or more let it score
4 or less let it rest
That means that if the last number is 5 or if it's greater than 5 it will round up. But if it's 4 or less than 4 it will round down.
Help me for brainliest please
Answers
hopefully this helps
these are the last ones
Answers
Answer:
9) p = 48
10) a = 3.6
Step-by-step explanation:
9) p/8 + 3 = 9
p/8 = 6
p = 48
10) 12a/4 + 18/3 = 20.4
4a + 6 = 20.4
4a = 14.4
a = 3.6
Answer:
woooooooooooooooooowwwwwwwww
Step-by-step explanation:
Will give brain thingy lol I’m too lazy to use my brain and figure this out anyways.
Answers
Answer: C. 1/8
Step-by-step explanation:
2/16 were pepperoni at pizza hut the first time,
then simplifying 2/16 = 1/8 = 1/8 chance.
Answer:
1/8
Step-by-step explanation:
Simplify 122.123
O A. 125
O B. 245
O C. 1445
O D. 125
Answers
Answer:
D) 12^5
Hope that helps! :)
-Aphrodite
Step-by-step explanation:
What are the missing numbers in the sequence? 512,_,288,216,_
Answers
what is the area of the figure below
Answers
Answer:
Hello! answer: area = 21
Step-by-step explanation:
5 × 3 = 15 3 × 2 = 6 15 + 6 = 21 HOPE THAT HELPS!
Please help ASAP will mark brain
Answers
Answer:
option b
Step-by-step explanation:
option b is the answer because the rest of them equal to 115 but option b is 110
the sum of 7592, 6635 and 7494
Answers
Answer:
the answer to your question is 21721
Please help. Will mark brainliest if correct. ( links will be banned)
Answers
Answer:
answer 2
Step-by-step explanation:
I have no clue guess you'll just have to trust me
Answer:
x<4.5
Step-by-step explanation:
Simplify both sides.
2x-6<3
add 6 on both sides.
2x<9
divide both sides by 2
x<4.5
WHATS THE ANGLE MEASUREMENTS ?? & TELL HOW YOU GOT IT !!
PLEASE HELP !! ILL GIVE BRAINLIEST!! 100 POINTS !! NO FAKE ANSWERS.
Answers
Answer:
...
Step-by-step explanation:
7x - 2 +5x - 10 +4x = 180
16x - 12 = 180
16x = 168
x = 10.5
now plug it in
7(10.5) - 2 = 71.5°
4(10.5) = 42°
5(10.5) -10 = 42.5°
Help #1 can you please help me add the symbols as an answer multiplication, division , subtraction or addition please just the symbols
Answers
Answer:
1. subtraction 2. division 3. division 4. multiplication
Step-by-step explanation:
What are the coordinates of the image of AABC after a dilation with center (0, 0) and a scale factor of ? Drag numbers to complete the coordinates, Numbers may be used once, more than once, or not at all. у 16 12 00 B 4 a с A 0 0 4 4 8 12 16 1 N 3 4 5 6 Ad 1. B'd С (1 )
Answers
Answer:
munbers may be used once Or more than once
In a room, there are four chairs. The first chair is towards North, the third chair is towards south, the second chair is towards east and fourth chair is towards west. If the distance between any two consecutive chairs is equal and all the interior angles are 90° each, then which of the following shape is formed?
A) Square
B) Rectangle
C) Trapezium
D) Circle
Answers
Answer:
The correct answer is A. The shape formed by the four chairs is a square.
Step-by-step explanation:
A square is a figure whose 4 sides are exactly equal in length, and whose 4 interior angles are equal to 90 degrees each. Thus, if the distance between the chairs is exactly the same between them, it is understood that the "sides" of the figure are all the same. Thus, if all the internal angles of the figure are 90º, the figure that the chairs form is a square.
Drag each number to the box on the right so it matches the value of the expression on the left. Each number may be used once, more than once, or not at all.
25 returned to choices list.
33.6 25 27 68.4 8
Expression Value of the Expression
[4×(4+3)]−3 =
[(7−5)÷12]×2=
(5.4+3)×(6−2)=
[9÷3+6]×3=
(4+3.2)×[(9−2)+2.5]=
Answers
Answer:
theres no box
Step-by-step explanation:
tehres no box
Answer:
[4 × (4 + 3)] − 3 = 4×7 - 3 = 28 - 3 = 25[(7 − 5) ÷ 12 ] × 2 = {2 ÷ 12} × 2 = 1/6 × 2 = 1/3 This seems incorrect(5.4 + 3) × (6 − 2) = 8.4 × 4 = 33.6[9 ÷ 3 + 6] × 3 = [3 + 6] × 3 = 9 × 3 = 27(4 + 3.2) × [(9 − 2) + 2.5] = 7.2 × [7 + 2.5] = 7.2 × 9.5 = 68.4If Ronaldo scored 78 out of 90 in his test, what percentage did he get?
Answers
Answer:
86.67%
Step-by-step explanation:
\frac{100\%}{x\%}=\frac{90}{78}
Take the inverse/reciprocal:
\frac{x\%}{100\%}=\frac{78}{90}
x=86.67%
Hope this helps!