Please help!!
Select the correct answer.
Consider functions f and g.
f(x)= square root 2x+2
g(x) = x^2-2/2
Which statement is true about these functions?
See in photo
Answers
Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other
Given the functions expressed as:
[tex]h(x) =\sqrt{2x+2}\\g(x)\frac{x^2-2}{2} \\[/tex]
In order to check whether they are inverses of each other, we need to show that h(g(x)) = g(h(x))
Get the composite function h(g(x))
[tex]h(g(x))=h(\frac{x^2-2}{2} )\\h(g(x))=\sqrt{2(\frac{x^2-2}{2} )+2}\\h(g(x))=\sqrt{x^2-2+2} \\h(g(x))=\sqrt{x^2}\\h(g(x))=x[/tex]
Get the composite function g(h(x))
[tex]g(h(x))=\frac{(\sqrt{2x+2} )^2-2}{2} \\g(h(x))=\frac{2x+2-2}{2}\\g(h(x))=\frac{2x}{2}\\g(h(x))=x[/tex]
Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other
Learn more on inverse functions here; https://brainly.com/question/14391067
Related Questions
The sum of 5 consecutive integers is 110.
What is the fourth number in this sequence?
Answers
Answer:
23
Step-by-step explanation:
x + x + 1 + x + 2 + x + 3 + x + 4 = 110
5x + 10 = 110
x = 20
4th number = x + 3
20 + 3 = 23
what is 56 inches in meters rounded to the nearest hundredth
Answers
Answer:
1.42 m
Step-by-step explanation:
Each inch is 0.0254 meters, so 56 of them is ...
56(0.0254 m) = 1.4224 m ≈ 1.42 m
8
Find the arc length of the partial circle.
units
Answers
Answer:
How to solve ???Arc Length = θ × (π/180) × r, where θ is in degree.
Radius and the sector area:-Multiply the sector area by 2.Then divide the result by the radius squared (the units should be the same) to get the central angle in radians.Multiply the central angle by the radius to get the arc length.Let's solve ur question :- Answer :-The Arc length of the given partial circle is 4π units or 12.56 units .
Used formulae :- The length of the Arc is "I" units , the radius "I" units and the angle subtended by the Arc at the center is "X" is ( X° / 360° ) x 2πr units .Circumference of the circle = 2πr units .π = 3.14Step-by-step explanation:
Ur answer with proof refer to above attachments .Hope this helps you XD ✌️Answer:
4π
Step-by-step explanation:
Hope this helps!
what is the value of 3.5(11+1.9(11)+1.6(11)?
Answers
Answer:
The answer is 77
PLEASE HELP ME WILL GIVE BRAINLIEST FOR RIGHT ANSWER
Answers
Answer:
Step-by-step explanation:
I dont really know how to find out the variables but what i assume to do is this:
Find the square root of n and add it to m. The sum of both you divide by p. then when you figure that out, you distribute the x value into the parenthesis. This might be obvious but i looked at this question for 10 minutes and couldnt find the value sorry :(
m = 11
n = 145
p = -4
As you substitute the equation -2x^2 – 11x + 3 = 0 (from factorising x(-2x-11) = -3) into the quadratic formula to find the values of m, n and p.
△ABC has vertices A(1,1) B(5,5) and C(4,6)
What is the perimeter of △ABC
What is the area of △ABC? Show your work.
Answers
Length in units:
Use phytogoras theorem or measure it by a ruler if your using a graph paper
AB = 5.65 units
AC = 5.83 units
CB = 1.41 units
Perimeter =5.65 + 5.83 + 1.41 = 12.89 units
Area = 1/2 * 1.41 * 5.65 = 3.98units
what percent of 925is37
Answers
Answer:
4%
Step-by-step explanation:
to find percentage do 37 divided by 925 helps it helps :)
Please help serious answers only
Answers
Answer:
#4 x = 3 ± i√31
2
Step-by-step explanation:
Solve by completing the square
x² - 3x + 10 = 0
x² - 3x = -10
x² - 3x + 9/4 = -10 + 9/4 half of 3 and square the answer (half of 3 = 3/2
and square the number (3/2)² = 9/4
x² - 3x + 9/4 = -31/4
[tex](x - \frac{3}{2} )^2 = \frac{-31}{4}[/tex]
[tex]\sqrt{(x-\frac{3}{2})^2 } =\sqrt{\frac{-31}{4} }[/tex]
[tex]x - \frac{3}{2} = \frac{i\sqrt{31} }{2}[/tex]
x = 3/2 ± i[tex]\sqrt{31}[/tex] /2
x = 3 ± i√31
2
What is the slope of a line perpendicular to the line whose equation is -2x+20y=6
Answers
Answer:
-10
Step-by-step explanation:
Solving for y gives ...
20y = 2x +6
y = 2/20x +6/20 = 1/10x +3/10
The slope of the given line is the coefficient of x: 1/10. The slope of the perpendicular line is the opposite reciprocal of this: -1/(1/10) = -10.
The perpendicular line has a slope of -10.
Is 1 1/30 more or less then 1 1/2 gallons
Answers
Answer:
less
Step-by-step explanation:
pedro is a driver for LYFT. There is a flat fee and a rate per mile. The function f(x)=4.50x + 12 represents how much it will cost for a ride after X miles. evaluate f(39)
Answers
F(39)=4.5*39+12=175.5+12=187.5
At the fundraiser, Chad washed 7 cars every 3 hours and earned over $150 for the school dance. 3. Choose the correct answer. Which phrase in the situation translates to the slope? 3 hours for every 7 cars 3 hours and earned over $150 7 cars every 3 hours 7 cars and earned over $150
Answers
Answer:
the answer is 22
Step-by-step explanation:
Answer:ion run it
Step-by-step explanation:
BUM
The product of 0.4 and a number is 8
Answers
8/0.4=20
Hope you get a good grade on your quiz/test!!
Which property explains why these two expressions are equal?
5 (g + h) = 5g + 5h
A associative
B commutative
C distributive
D inverse
Answers
Can i get some help ::
Answers
Answer:
last option
...................................
Pls help me sue tmr pls pls pals question 6
Answers
Answer:
Ankita is 135cm tall and Nita is 150cm tall- to find what percent of Nita's height Ankita represents you would divide ankita's height by Nita's height then multiply the answer by 100%
135cm/150cm = 0.9 (the centimetres cancel out and leaves a generic unit) then 0.9 x 100% = 90%
so Ankita is 90% of the height of Nita
Step-by-step explanation:
True or false 9x10^-5 is 0.01 times as much as 9x10^-3
Answers
Answer: The answer to this question is true.
Write a system of linear inequalities represented by the graph.
Answers
Answer:
x=2 ,. y=y -3
Step-by-step explanation:
I hope it helps
The equations of the lines given in the graph will be y = 3x and y =-5x -2.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
For line one the points are:-
( 1,3 ) and ( 0,0)
Slope = ( 0 - 3) / ( 0 - 1 )
Slope = 3
The equation will be,
y = 3x
For line two the points are:-
(-1,3) and (0,-2),
Slope = ( -2 - 3 ) / ( 0 + 1)
Slope = -5
The y-intercept will be,
y = mx +c
c = -2
The equation can be written as:-
y = -5x - 2
To know more about an equation of the line follow
https://brainly.com/question/18831322
#SPJ2
HELP ME PLEASE GUYS! :)
Answers
y = x is a positively sloped line, meaning that it points to the right. It also has a y-intercept of (0,0).
y = -1/2x + 3 is a negatively sloped line, meaning that it points to the left. It has a y-intercept of (0,-3).
The correct graph is Graph A.
Hope this helps! :)
5/6 divided by 3/4 in simplest form
Answers
Answer: The answer is 1 1/9.
Explanation: Multiply the numerator by the reciprocal of the denominator(5/6 x 4/3). Cancel the common factor of 2, then multiply 5/3 x 2/3. The result is 10/9, which is an improper fraction which should be converted to the mixed fraction 1 1/9.
Solve the following for :
60/3=x/4
Answers
Answer:
80
Step-by-step explanation:
60/3 becomes 20 and then it says equal to 1/4 x because x divided by 4 so we multiply by 4 to get 80
Solve for.
11x +4 < 15
OR
12x – 7 > -25
Choose 1 answer:
3
<3 <1
3
B
>>
1910
<1
Answers
Step-by-step explanation:
11x-4<15
11x<15+4
11x<19
x<1
How do you write 9,200 in scientific notation?
Answers
Answer:
9.2 x 10^3
Step-by-step explanation:
HOPE THIS HELPS and if it does brain pls thx
Answers please ASAP!!!
Answers
(-4/5)/-1= 4/5
(-2/5)/-1= 2/5
(4/5)/-1= -4/5
1/-1= -1
The solution is x < -2/5
Which description best describes the association between variables x and y?
A.strong positive
B.strong negative
C.weak positive
D.weak negative
Answers
Answer:
A. Stong positive
Step-by-step explanation:
Both the x and y variables move into the higher number on the chart!
Hope this helps!!
Please tell me if I have made a mistake, I enjoy learning form them:
WHAT IS 62729287937927497393884x0
I NEED HELP!!!!!!!!!
PLEASEEEEEE
Answers
Answer:your mom
Step-by-step explanation:
[tex]\huge \bf༆ Answer ༄[/tex]
Any value multiplied by Zero gives Zero, therefore ~
[tex] \sf62729287937927497393884 \times 0 = 0[/tex]A boy is walking at 3 m/s He is 25 kg and his back pack is 5kg. What is the boys momentum when carrying the back pack?
90 kg m/s
10 kg m/s
15 kg m/s
75 kg m/s
Answers
Answer:
90 kg m/s
Step-by-step explanation:
The equation for momentum is
p= mass x velocity
so our velocity is 3 thats is given
the mass must be calculated by adding 25 and 5
this adds to 30
30 x 3 = 90
A product of a number and 6 is 26
Choose the answer:
A. n*6=26
B. 6+n =26
C. 6-n
D. 6-n=26
Answers
Answer:
A
Step-by-step explanation:
n is the number.
So n*6=26
Hey there!
Guide:
• Difference = Subtract
• Is = Equal to
• Product = Multiply
• Quotient = Divide
• Sum = Add
• Unknown number = a number that’s isn’t known yet
Question reads….
“ A [PRODUCT] of [a NUMBER] & 6 [is] 26”
RANDOM:
• Product is multiply/multiplication
• A number is unknown so we will label it as “n”
• 6 stays the same because nothing happened to it
• 26 is BEHIND the equal sign but nothing happens to it because nothing is being compared to it
ANSWER:
“n * 6 = 26”
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Please help iwill give you brainlist
Answers
I would appreciate it if you can help me with this.
Answers
Answer:
[tex]450000 \leqslant 15000 + 4t[/tex]
