Answers
9514 1404 393
Answer:
B.
Step-by-step explanation:
The relation between a function f(x) and its inverse g(x) is ...
f(g(x)) = g(f(x)) = x
On can compute these functions of functions, or take an easier route and do the computation with a couple of numbers. It is often easiest to use x=0 or x=1. If we find g(f(x)) ≠ x, then we know the functions are not inverses. If we find g(f(x)) = x for one particular value of x, then we need to try at least one more to verify the relation.
__
If we call the two given functions f and g, then we have ...
A. f(0) = -2/3, g(-2/3) ≠ 0 . . . . not inverses
__
B. f(0) = -3/2, g(-3/2) = 0 . . . . possible inverses
f(1) = 4/2 = 2, g(2) = 7/7 = 1 . . . . probable inverses
__
C. f(0) = -2, g(-2) = 0 . . . . possible inverses
f(1) = 1/2, g(1/2) = -5/3 . . . . not inverses
__
D. f(0) = 5, g(5) = 27 . . . . not inverses
_____
Additional comment
Our assessment above is sufficiently convincing to let us choose an answer. If we want to verify the functions are inverses, we need to graph them or compute f(g(x)). The graph in the second attachment shows each appears to be the reflection of the other in the line y=x, as required of function inverses.
Related Questions
QUE
The angle of depression of a banana from the monkey on the tree
25m high is 560. Calculate the distance of the banana from the
foot of the tree
and ton xamples of each
Answers
9514 1404 393
Answer:
16.9 m
Step-by-step explanation:
Angle BMT in the attached diagram is the complement of the angle of depression, so is 90° -56° = 34°. The distance BT is the side of the triangle opposite this angle, and the given tree height TM = 25 is the side of the triangle adjacent to the angle. Then the relevant trig relation is ...
Tan = Opposite/Adjacent
Opposite = Adjacent × Tan
BT = (25 m)·tan(34°) ≈ 16.863 m
The banana is about 16.9 meters from the tree.
what is the volume of a cube with a length of a 10cm,
a width of 8cm and a height of 8cm
Answers
640
Step-by-step explanation:
Volume = Length • Width • Height
Volume = 10 • 8 • 8
Volume = 640
Answer:
640
Step-by-step explanation:
muntiply all the number length width height
A sample of 45 bottles of soft drink showed a variance of 1.1 in their contents. The process engineer wants to determine whether or not the standard deviation of the population is significantly different from 0.9 ounces. What is the value of the test statistic
Answers
Answer:
The value of the test statistic is 59.75.
Step-by-step explanation:
The test statistic for the population standard deviation is:
[tex]\chi^2 = \frac{n-1}{\sigma_0^2}s^2[/tex]
In which n is the sample size, [tex]\sigma_0[/tex] is the value tested and s is the sample standard deviation.
A sample of 45 bottles of soft drink showed a variance of 1.1 in their contents.
This means that [tex]n = 45, s^2 = 1.1[/tex]
The process engineer wants to determine whether or not the standard deviation of the population is significantly different from 0.9 ounces.
0.9 is the value tested, so [tex]\sigma_0 = 0.9, \sigma_0^2 = 0.81[/tex]
What is the value of the test statistic
[tex]\chi^2 = \frac{n-1}{\sigma_0^2}s^2[/tex]
[tex]\chi^2 = \frac{44}{0.81}1.1 = 59.75[/tex]
The value of the test statistic is 59.75.
It looks like there is an error on this statement. Please take 15% off of this $123.00 bill.
Answers
18.45
Step-by-step explanation:
Divide 15 by 100
Answer: 0.15
Then multiply it by $123.00
0.15 x $123.00 = 18.45
So 15% of 123.00 is 18.45
Check:
15%/100% = 18.45/123.00
Multiply 123.00 x 15
Answer: 1845
Then divided it by 100
Answer: 18.45
The 15 percent-off $123 or 15 percent discount for a item in which the original price is $123 is: $18.45
15 percent-off $123Using this formula
Amount = Original Price x Discount
Let plug in the formula
Amount= 123 x 15 / 100
Amount = 1845 / 100
Amount = $18.45
Inconclusion the 15 percent-off $123 is $18.45.
Learn more about 15 percent-off $123 here:https://brainly.com/question/23192029
Simplify the following expression:
7y + 2x − 10y + 3x2 − 10x
Answers
Find the diameter of a circle if the area is
153.86m2. Use 3.14 for pi.
Answers
Answer:
-Hello Fatema!
The formula to find out the area of a circle is πd so let's plug the known values and then solve for d [ diameter ] :[tex] \boxed{ \large{ \tt{✺ \: AREA \: OF \: A \: CIRCLE = \pi \: d }}}[/tex]
[tex] \large{ \tt{⟶ \: 153.86 = 3.14 \: d}}[/tex]
[tex] \large{ \tt{⟶ \: d = \frac{153.86}{3.14} }}[/tex]
[tex] \large{ \tt{⟶d = 49 \: m}}[/tex]
[tex] \large{ \boxed{ \boxed{ \tt{⤿ \: OUR \: FINAL \: ANSWER : \: 49 \: m}}}}[/tex]
Yayy! We're done! Let me know if you have any questions regarding my answer and also , notify me if you need any other help! :)I need help with this question!
Answers
In four years,George saved $540. His twin sister, Georgette, saved 10 times as much. How much did Georgette saved?
Answers
5400 dollars
540x10= 5400
Can someone help please
Answers
Step-by-step explanation:
a) The volume of the prism is
[tex]V = (n^2 - 1)×(n^2 - 1)×(5n)[/tex]
[tex]\:\:\:\:= (n^4 - 2n^2 + 1)(5n)[/tex]
[tex]\:\:\:\:=5n^5 - 10n^3 + 5n[/tex]
b) If the dimensions L of the prism are tripled, the new volume will be
[tex]V' = (3L)^3 = 27L^3 = 27V[/tex]
so it will increase by a factor of 27.
Find the area of the figure.
A =
Is it m, m2, or m3
Answers
Answer:
348 m^2
Step-by-step explanation:
The figure is made up of a rectangle 24 m by 12 m, and a triangle with a 24 m base and a 5 m height.
A = LW + bh/2
A = 24 m * 12 m + (24 m)(5 m)/2
A = 288 m^2 + 60 m^2
A = 348 m^2
Which expression corresponds to this graph?
Answers
Answer:
C
Step-by-step explanation:
The expression is x>55 and 55 isn't included
Answer:
c
Step-by-step explanation:
What is the measure of m?
Answers
Answer:
√245
Step-by-step explanation:
altitude on hypotenuse theorem:
m^2=7*35
m^2=245
m=√245
Evaluate 6 x (15 - 7) - 4
A: 10
B: 24
C: 44
D: 79
Answers
PEMDAS
P: ()
E:^
M:x
D:/
A:+
S:-
6 x (15 - 7) - 4
6 x (8) - 4
48 - 4
44
Answer: C
Answer:
44
Step-by-step explanation:
6 x (15 - 7) - 4
PEMDAS says Parentheses first
6 x (8) - 4
Then multiply
48 -4
Then subtract
44
y''+y'=3 hihihihihhihihihihihihih
Answers
Answer:
Maaf Saya Tidak Tahu
Step-by-step explanation:
Maaf Maaf
Geometry Find the value of x in each of the given figures . Need help please.
Answers
Answer:
x= 80 degrees
Step-by-step explanation:
exterior angle theorem says that the exterior angle (extended line from one of sides of the triangle), 105 in this case is equal to the two opposite angles, in this case that would be 25 and x
therefore
105= 25+x
x= 80
look at the image below plz helppppppppppppp
Answers
Answer:
150.
Step-by-step explanation
Page No 9s is it possible to have a triangle with following sides? 4.cm, 5cm, 6cm
Answers
Answer:
yes it's possible
Step-by-step explanation:
In any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. ... This sum must be greater than the length of the longest side.
4x + 8 + 3(x - 2) + 3x ,combining liked terms
Answers
Answer:
4x+8 +3x - 6 + 3x
10x + 8 - 6
10x + 2
Algebra II Part 1
On your paper, graph these coordinates:
(-1, 1), (-5, 2)
Type the correct equation of the line.
Note: Do not use fractions in your answer.
Answers
Answer:
4y+x-3=0
Step-by-step explanation:
The equation is y=mx+b
1) Use the coordinates from the first point
(-1,1)
1= -m+b
2) Use the coordinates frm the second point
(-5,2) (y=mx+b, use x=-5, y=2)
2=-5m+b
You have the system of equations
1=-m+b (multiply by -1) -1= m-b
2=-5m+b
Add the first equation (multiplied by -1) and the second one
-1+2= m-b-5m+b
1= -4m
m=-0.25
2=1.25+b
b=0.75
y=-0.25x+0.75
4y= -x+3
4y+x-3=0
I just need Primitive function
Answers
Answer:
?????
Step-by-step explanation:
In what do you need primitive function?
Solve for x: 2x – 1] + 5 < 13 please send help
Answers
Answer:
Step-by-step explanation:
2|x-1|+5 < 13
2|x-1| < 8
|x-1| < 4
-4 < x-1 < 4
-3 < x < 5
Lydia has 955 in her account.she withdrew 245 and later 447.How many is left in her account.
Answers
Answer:
263
Step-by-step explanation:
with 955 in the account, you subtract all the amount withdrawed from the main money in the account.
955-245-447
=263
Solve the formula for the specific variable
Z=x-y/3
Y=____
Answers
Answer:
-3(z-x) = y
Step-by-step explanation:
Z=x-y/3
Solve for y
Subtract x from each side
z-x = x- y/3 -x
z-x = -y/3
Multiply each side by -3
-3(z-x) = -y/3 * -3
-3(z-x) = y
a mens clothing sore sold out of $50 jackets and $30 jackets for a total of $2360 if the store sold 12 more$30 jackets than$50 jackets how many$50 jackets were sold
Answers
Answer:
25
Step-by-step explanation:
Let x represent the number of $50 jackets that were sold, and let y represent how many $30 jackets were sold.
50x + 30y = 2360
y = x + 12
Solve by substitution by substituting the second equation into the first one. Then, solve for x:
50x + 30y = 2360
50x + 30(x + 12) = 2360
50x + 30x + 360 = 2360
80x + 360 = 2360
80x = 2000
x = 25
So, 25 $50 jackets were sold.
Please figure this out and find the measure
Answers
Answer: ME
Step-by-step explanation:
Answer:
166
Step-by-step explanation:
Since the lines are parallel, A=B. 7x+40=3x+112, 4x=72, x=18. A=166
IF YOU CAN ANSWER THIS QUESTION, YOU ARE A TRUE MEME LORD
Alan needs a total of $370 to buy a new bicycle. He has $40 saved. He earns $15 each week delivering newspapers. How many weeks will Alan have to deliver papers to have enough money to buy the bicycle?
CAN YOU DO IT??
Answers
Answer:
22 weeks
Step-by-step explanation:
Let Suppose if weeks is x
So if we count it:
$40 + $15x = $370
$15x = $330
x = 22 weeks
So, Alan needs 22 weeks to have enough money to buy the new bicycle
5.
The width of a rectangle is one foot more than a third of the length. If the
perimeter is 42 feet, what is the width? What is the length?
Answers
2l + 2w.
So, by plugging in our values of the length and width, we can easily find an answer:
length = L
width = 1 + L ( 1/3 )
2 ( L ) + 2 ( L ( 1/3 + 1 ) = 42
2l + 2/3( L ) + 2 = 42
8/3 ( L ) = 40
L = 40 * 3/8
L = 15
Therefore, the length is 15 and the width is 6.
Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordinates.
slope:
3/2
ordered pair: (3, 1)
Answers
Answer:
y = 3/2x-2
Step-by-step explanation:
slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 3/2x+b
Substitute the point in for x and y
1 = 3/2(2)+b
1 = 3+b
1-3 =b
-2=b
y = 3/2x-2
Given that log 2 = 0.3010 and log 7 = 0.8451, find the following (a) log 49 (b) log 560
Answers
Answer:
ok babababr
Step-by-step explanation:
skwjshehhehdhhshwhhdhwhbeujsbsgehbedheb
Answer:
Log 49= 1.6902
Log 560= 1.7481
Step-by-step explanation:
log49= log7×7
From the rules of logarithms, we have that
log a×b= log a + log b
So log49= log7×7= log7 + log7
= 0.8451 + 0.8451 = 1.6902
Log 560 = log7×8 = log7 + log8
log8= log2^3 = 3log2
log8= 3×0.3010 =0.930
log 560= 0.8451 + 0.930 = 1.7481
The three measuring tapes are 10m, 15m and 25m long. Find the shortest length which can be measured
exactly by any one of these tapes
Answers
We need to find the LCM
Numbers = 10,15,25
After prime factorization ans as 150
Therefore the shortest length is 150cm
Must click thanks and mark brainliest
