Answers
========================================================
Explanation:
Start with the f(x) function. Then plug in g(x) like so
[tex]f(x) = 4x+3\\\\f(g(x)) = 4(g(x))+3\\\\f(g(x)) = 4\left(\frac{1}{4}x-\frac{3}{4}\right)+3\\\\f(g(x)) = 4\left(\frac{1}{4}x\right)+4\left(-\frac{3}{4}\right)+3\\\\f(g(x)) = x-3+3\\\\f(g(x)) = x\\\\[/tex]
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Now we'll start with the g(x) function and then plug in f(x)
[tex]g(x) = \frac{1}{4}x-\frac{3}{4}\\\\g(f(x)) = \frac{1}{4}(f(x))-\frac{3}{4}\\\\g(f(x)) = \frac{1}{4}(4x+3)-\frac{3}{4}\\\\g(f(x)) = \frac{1}{4}(4x)+\frac{1}{4}(3)-\frac{3}{4}\\\\g(f(x)) = x+\frac{3}{4}-\frac{3}{4}\\\\g(f(x)) = x\\\\[/tex]
----------------------------
We've shown that the two equations are true
f(g(x)) = xg(f(x)) = xTherefore, f and g are inverses of each other.
Related Questions
Pls help pls Pls pls pls thanks
Factor of 20 but not 10
2. Neither factors of 10 and 20?
Answers
Answer:
Step-by-step explanation:
How many solutions does this system have?
y = 2/3x + 3
2x - 3y = -9
A. one solution
B. two solutions
C. no solutions
D. infinitely many solutions
Answers
Answer:
the answer is A .
Step-by-step explanation:
-2x+y=3 ----> 2x - y = -3
6x=9-3y
6x + 3y = 9
divide by 3 ,
2x + y = 3
Since the slopes are different, they will intersect.
So ONE solution.
19.
In a Space Needle, the elevators whisk you to the revolving restaurant at a speed of 650
feet in 60 seconds. If the revolving restaurant is 370 feet up, how long will it take you to reach
the restaurant by elevator? Round answer to two decimal places.
Answers
The Fresh and Green Company has a savings plan for employees. If an employee
makes an initial deposit of $1000, the company pays 8% interest compounded
quarterly. If an employee withdraws the money after five years, how much is in
the account?
Answers
Answer:
$1400
Step-by-step explanation:
The Fresh and Green Company has a savings plan for employees. If an employee makes an initial deposit of $1000, the company pays 8% interest compounded quarterly. If an employee withdraws the money after five years, how much is in the account?
First you need to make 8% into a decimal.
To do that you need to move the decimal point to spaces to the left.
8. ----- 0.8 ----- 0.08
The decimal is 0.08.
Now multiply $1000 by 0.08.
Which is $80.
Now do $80 times 5 years.
which is $400 interest.
Now add $400 to $1000.
Which is $1400.
PLEASE HELP I WILL MARK YOU BRAINLEST!!!
please read the question on the photo and these are the choices bellow!!
A-translation, reflection
B- rotation, reflection
C-reflection, rotation
D-rotation, translation
Answers
Answer:
D.
Step-by-step explanation:
find the height of the tree
Answers
Use the property of similarity of triangles =》the corresponding sides of a triangle should be in the same ratio.
Take the missing side as 'x'.
The corresponding sides here are,
■ 7 & 14 ft
■ 5 & x ft
7/14 = 5/x
7x = 5 × 14 (cross multiplication)
7x = 70
x = 70/7
x = 10 ft
Height of the tree = 10 ft.
_____
Hope it helps ⚜
If a trailer carries 625 gags of cocoa. How many bags will 265 trailers carry?
Answers
Answer:
165,625 bags of cocoa.
Step-by-step explanation:
One trailer = 625 bags of cocoa, and if you have 265 trailers it means you will have to multiply 625 by 265.
can you guys help me plz
Answers
Answer:
1) x>1
2) x<6
3) x>34
4) x>-4
5) x<2
6) x>-36
7) x<=4
8) x>-2
9) x>=2
10) x>14
SOMEONE HELP ME PLEASEEE
Answers
Answer:
A) X≥4
B) Can't see question
C)x<8
D) x>40
E)x≥5
F) Can't see question
G)x ≥43
H) x ≤75
Step-by-step explanation:
help me plzzz i really need help its also in Spanish plzzzzzzzzzzzz help meeeee(ToT)(ToT)(ToT)
Answers
Answer:
1. veinte (10 * 2 = 20)
2. tres ( 12 ÷ 4 = 3)
3. veinte (18 + 2= 20)
4. diez ( 15 - 5 = 10)
5. once (14 - 3 = 11)
1. Write an equation for a line that passes through the origin and is perpendicular to
y = 5x – 2.
Answers
Answer:
the equation will be 2y=5x
PLEASE HELP THESE ROBOTS ARE SPAMMING ME
What led to the formation of the 2 political parties?
A. The Revolutionary War
B. Hamilton's financial plan
C. the Whiskey Rebellion
D. A loss in rock, paper, scissors
Answers
Step-by-step explanation:
The answer is the Revolutionary War
What is the smallest integer value that makes the inequality true? 3x - 10 > 2x + 4
Answers
Answer:
x=0 is the smallest integer
Step-by-step explanation:
What is the rate unit of running 4 laps in one minute?
0 4
minutes
laps per minute
laps
Answers
Answer:
laps per minute
Step-by-step explanation
because it is asking you to find the unit of laps per minute.
help me please and thank you
Answers
need help math problem give you 5 stars and a good rating if you do this
Answers
Answer:
Add 9.6 then divide by 3.2
Write an equation involving absolute value or the graph
Answers
Answer:
Step-by-step explanation:
2 AND 4
Solve 4(x + 6) = 2(2x + 12)
Answers
Answer:
Infinitely many solutions
Step-by-step explanation:
[tex]4(x+6)=2(2x+12)[/tex]
[tex]4(x+6)=2(2(x+6))[/tex]
[tex]4(x+6)=4(x+6)[/tex]
Infinitely many solutions
Answer:
Hiya There....!!!
______________________
Any value of x makes the equation true. Always true
Interval Notation:
( − ∞ , ∞ )
_______________________
“Most things are forgotten over time. Even the war itself, the life-and-death struggle people went through is now like something from the distant past. We’re so caught up in our everyday lives that events of the past are no longer in orbit around our minds. There are just too many things we have to think about everyday, too many new things we have to learn. But still, no matter how much time passes, no matter what takes place in the interim, there are some things we can never assign to oblivion, memories we can never rub away. They remain with us forever, like a touchstone.”
― haruki murakami, Kafka on the Shore__________________________
Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn
7(2+3x)+8, 12+3(8+x), and (7x+2)3+8x
Answers
Answer:
The first answer is 21x+22.
Second answer is 36+3x.
Third answer is 29x+6.
Step-by-step explanation:
I just simplified
George is going to sing 4 songs in
the school program. In how many
different orders can George sing
each song once?
Answers
Answer:
4! or 24
Step-by-step explanation:
4! is 4*3*2*1 which equals 24.
Every single time that he sings a song, he has one less option to pick from.
Hope this helped! :)
Answer:
Greg can sing in 16 different ways to each song once.
Step-by-step explanation:
i need help for my bro
Answers
WILLL MARK BRANILIEST
Answers
11 1/12
you have to make the bottom number the same so its 4/12+9/12 which makes 11 1/12
What is the distribution property and combining like terms for -8(b+3)
Answers
Answer:
-8b-24
Step-by-step explanation:
Just ask.
Hope this helps! :)
Answer:
-8b-24
Step-by-step explanation:
you would just distribute that -8 to what's inside the ( ).
The sum of the first 15 terms of a geometric sequence with 7 as the first term and a common ratio of -3 is __________.
Answers
Step-by-step explanation:
the formula for the sum of the first n terms of a geometric sequence is
Sn = s1(1 - r^n)/(1 - r)
with r being the common ratio and s1 is the first term.
so,
S15 = 7×(1 - (-3)¹⁵)/(1 - -3) = 7×(1 - -14,348,907)/4 =
= 7×14,348,908/4 = 7×3,587,227 = 25,110,589
ABCD is a parallelogram. Determine the length of BE.
Answers
Answer:
BE = 102 units
Step-by-step explanation:
The diagonals of a parallelogram bisect each other , so
DE = EB , that is
- 8x + 14 = 3 - 9x (add 9x to both sides )
x + 14 = 3 ( subtract 14 from both sides )
x = - 11
Then
BE = 3 - 9x = 3 - 9(- 11) = 3 + 99 = 102 units
Answer:
A
Step-by-step explanation:I've took the test
suppose You earn Birr 10,000.00 per month and pay 20% tax and spend 60% of it. Again the recipient of the money spent by you pays 20% tax and spends 60% of it. If this process continues without end, find the total amount that wil be paid for the tax
Answers
Answer:
Birr 5000
Step-by-step explanation:
You will pay 10,000×20% = 2000 in tax. Recipients of your spending will pay ...
0.60×10,000×20% = 1200
Recipients of the spending at the next level will pay a tax of ...
0.60×0.60×10,000×20% = 720
That is, the tax amounts have an initial value (a1) of 2000 and a common ratio (r) of 0.60. Their total is given by the formula ...
sum = a1/(1 -r)
sum = 2000/(1 -0.6) = 5000
Birr 5000 will be the total amount paid for tax in this process.
If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is what?
Answers
we can change cos to sin by saying cosx=sin(90-x)
now we drop sin and make the angles equal (nothing needs to be added or subtracted since its in the first quadrant)
90-x=20+x+k.360.......kEZ (k is an element of set of integers) (we say k.360 if it's cos and sin and k.180 if it's tan)
-x-x=20-90+k.360........kEZ
-2x=-70+k.360.........kEZ
divide all terms by -2
x=35-k.180.......kEZ
Answer:
x=35°
Step-by-step explanation:
If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is 35°.
A man earns $9.99 for each of the first 36 hours he works in one week and $14.99 in overtime pay for each
additional hour he works in the same week. How much money will he make if he works 46 hours in one week?
Answers
Answer:
459.54
Step-by-step explanation:
46(9.99)
=459.54
Answer:
$159.89
Step-by-step explanation:
36 hours + 10 hours = 46
14.99 * 10 = 149.9
(36 hours) $9.99 + (overtime pay) $149.9 = (Total money) $159.89
$9.99 + $149.9 = $159.89
$159.89
What is the value of x if the side length of Terrarium A is four times the side length of Terrarium B?
Answers
The value of x if the side length of Terrarium A is four times the side length of Terrarium B is 3.6
Since we are both given the required length, we can assume the side length of Terrarium A and B and solve it in a general way.
Let;
Side length of Terrarium A = x - 6Side length of Terrarium B = x + 3If the side length of Terrarium A is four times the side length of Terrarium B, then;
x - 6 = 4(x + 3)
x - 6 = 4x + 12
x + 4x = 12 + 6
5x = 18
x = 3.6
Hence the value of x if the side length of Terrarium A is four times the side length of Terrarium B is 3.6
Learn more on linaer equation here: https://brainly.com/question/13738662
I need help with this badly.
