PLEASE HELP Review the equation, then complete the following. f(x)=1/x-4, g(x)=4x+1/x Use composition to prove whether or not the functions are inverses of each other. Express the domain of the compositions using interval notation.
Answers
Answer:A. Yes, they are inverse of each other.
B. Domain and range of the compositions is .
Step-by-step explanation:
A. We have, and .
Now, 'when two functions f and g are inverses of each other, they satisfy the property '.
So, we have,
Thus, we get for the given function f and g, .
Hence, they are inverse of each other.
B. Now, as we have,
That is, the composition of the functions is equal to the identity function.
Thus, the domain and range are the set of all real numbers respectively.
So, in the interval notation, we have,
Domain and range of the compositions is .
Related Questions
A bag contains 2 red and 3 white balls. If a
ball is picked at random from the bag, what
is the probability that it is red?
Answers
Answer:
2/5
Step-by-step explanation:
Formula:
Amount of theprobability item/Total
So it's..
2 + 3 = 5 (Total)
2/5
Answer:
2/5
Step-by-step explanation:
Mediterranean dip telefono Cricket in the area between the change of the jacuzzi on the kicker telefono question so have the education
Answers
what is 512.3 divided by 10
Answers
Answer:
51.23
Step-by-step explanation:
Hi !
So basically all you need to do with an equation like this move the decimal.
And the direction you move it depends on the value of the largest digit as well as if it is larger or smaller than 0.
So lets look at 10 and make it 10.0 so its a decimal and make things a bit easier.
So 10.0 is just one digit moved in the decimal world. (100.0 would be 2, 1000.0 would be 3, and so on.)
And 10.0 is greater than 0.
Greater than 0 = Move decimal left
Less than 0 = Move decimal right
So now we know to move one space to the left.
512.3
>
One to the left
>
51.23
And its that easy, that is your answer.
I hope this helps!
If you have any questions or concerns please let me know!
- 9b = - 45
i need help asap pls
Answers
Answer:
b=5
Step-by-step explanation:
Answer:
b=5
Step-by-step explanation:
Not copying....
have a nice day
Please help , explain too :)
Answers
Answer:
10
Step-by-step explanation:
5x - 20 = 2x + 10
subtracted 2x on both sides
3x - 20 = 10
then add 20 to both sides
3x = 30
then divide 3 on both sides
x= 10
cosine (theta) = StartFraction StartRoot 2 EndRoot Over 2 EndFraction , and StartFraction 3 pi Over 2 EndFraction less-than theta less-than 2 pi, evaluation sine (theta) and tangent (theta)
Answers
9514 1404 393
Answer:
sin(θ) = -√2/2
tan(θ) = -1
Step-by-step explanation:
The reference angle is arccos(√2/2) = 45°. The sine has the same magnitude, so the tangent (ratio of sine to cosine) has a magnitude of 1.
The angle is given as a 4th-quadrant angle. Both the sine and tangent are negative in the 4th quadrant.
sin(θ) = -√2/2
tan(θ) = -1
__
In the attachment, the angle of interest is 315° (7π/4). The given unit-circle coordinates are ...
(x, y) = (cos(θ), sin(θ))
tan(θ) = y/x
Answer:
sin(θ) = -√2/2
tan(θ) = -1
Step-by-step explanation:
Brainliest? plz
how to do the piecewise- defined functions
Answers
step-by-step
PLEASE HELP!!! Finish the congruence statement AND THE REASON(like SAS OR ASA OR SSS OR AAS!!
WILL GIVE BRAIN!!
Answers
m
m
=
5m+100°
2m+10°
Answers
Answer:
m= 20 for one becouse 5×20 is 100
m= 5 because 5×2 is 10
or do 5÷100 that is 20
and 2÷10 that is 5
find the polynomial equation with the given roots (precalc)
Answers
Angle E and Angle F are Vertical Angles, If measure of Angle E is 3x + 33 and the measure of Angle F is 4x + 8, what is the value of x?
Answers
Answer:
Remember vertical angles are congruent so you can set these expression equal to each other and then solve the equation.
Angle F = angle E
4x + 8 = 3x + 33
Now solve for the x variable.
Step-by-step explanation:
Write the slope-intercept equation of a line parallel to y = 3x + 2 that
contains the point (2, 1). SHOW ALL WORK.
Answers
To find the y intercept we plug in the points (2,1) into y=mx+b, with 2 being x and 1 being y.
1=3(2) + b
Solve this and you get -5 as the y intercept.
The equation is y=3x-5
how to write a fraction in interval notation
Answers
Answer:
So it's all real numbers except for that value okay now I want to show you guys how to write that in interval. Form because it we wrote all real numbers as negative infinity to infinity
Step-by-step explanation:
regla de correspondencia de f(x)=5x+4
Answers
Answer:
Step-by-step explanation:
Regla why f = 5x +4. Question
which equation represents the line on the graph?
Answers
Y=-1/3x+2
Reason:
the line is negative so it Goes down one right 3 and the line is on the positive 2 on the y axis.
can someone please help?
Answers
Answer:
g
Step-by-step explanation:
What is the result when 4x^4+17x^3+10x^2-7x+184x
4
+17x
3
+10x
2
−7x+18 is divided by x+2x+2?
Answers
Answer:
-5x+18/x+2
Step-by-step explanation:
I'm pretty sure it's the answer
Will mark brainliest has to be correct.
Answers
x=12
Step by step explanation:
Please help it’s for a grade I’ll give you Brinley if right
Answers
Answer: D
Step-by-step explanation:
Help me I need the answer for x
Answers
Answer:
60=x
Step-by-step explanation:
Hope this helped
what would the answer be?
Answers
Answer:
(180-50) ÷ 2=x
130 ÷ 2 =65
x = 65
65
Step-by-step explanation:
THe angle of a triangle is always 180
take the 50 do
180-50= 130
130/2=65
x=65
If m
= 36 degrees, then find the
m
Answers
Answer:
probablt m= 0.628
Step-by-step explanation:
Help me please answer thanks
Answers
PLEASEEEE HELPPP with both of them if you can!
Answers
Answer:
Tenacious tennis: y=5x+120
Totally Tennis: 8x
Toys r us: y=20x
Lego club: y=17x+36
Step-by-step explanation:
y=cost x= tennis court usage charge
Tenacious tennis: y=5x+120
Totally Tennis: 8x
8.)
y=cost x=lego set
Toys r us: y=20x
Lego club: y=17x+36
Make it correct please.
Answers
Answer:
1st box: 2.74
2nd box: 3.54
Step-by-step explanation:
It’s increasing by 0.2
Please, i need this done fast... 75 points.
Find WX, ST = 10x + 5, WX = 7x + 8, UV = 8x - 1
Answers
Answer:
WX=29
Step-by-step explanation:
ST=10x+5
WX=7x+8
UV=8x-1
since SW=UW, WX is centered between UV and ST
(10x+5)-(7x+8)=(7x+8)-(8x-1)
3x-3=-x+9
4x=-12
x=3
substitute
WX=7(3)+8=29
Answer:
29 lol i took this st00pid test and got it right :)
Step-by-step explanation:
Solve using proportions.
The triangles are similar, find the length of side (k) using a proportion; having ratios within the two figures.
Note: If someone could please answer before this upcoming Monday.
Answers
Answer:
7.8 = k
Step-by-step explanation:
Since the figures are similar, we can use proportions
c k
----- = -------
b j
Substituting the values in
6.5 k
----- = -------
4 4.8
Using cross products
6.5 * 4.8 = 4k
31.2 = 4k
Divide each side by 4
31.2/4 = 4k/4
7.8 = k
Tyler has a $12 gift certificate to use at
a department store. He decides to buy
4 notebooks that each cost $2.45, and
5 pens that each cost $1.31.
If Tyler uses his gift certificate, how
much money will he still need to pay?
Help me please!!
Answers
Answer:4.35
Step-by-step explanation:
4*2.45=9.8 5*1.31=6.55
9.8+6.55= 16.35
16.35-12=4.35
Madison has a collection of 220 coins. How many coins represent 5% of her
collection?
Help me please
Answers
Answer:
11
220/x=100/5
(220/x)*x=(100/5)*x - we multiply both sides of the equation by x
220=20*x - we divide both sides of the equation by (20) to get x
220/20=x
11=x
x=11.
Please help, will give brainliest if the equation is added.
A group of friends wants to go to the amusement park. They have no more than $175 to spend on parking and admission. Parking is $12.50, and tickets cost $16.25 per person, including tax. Write and solve an inequality which can be used to determine xx, the number of people who can go to the amusement park.
Answers
Answer:
10 people can go to the amusement park
Step-by-step explanation:
$175-$12.50 = $162.50
$162.50 divided by $16.25= 10
