Given:
[tex](g\circ f)(a)=|a|-2[/tex]
To find:
The functions f(x) and g(x).
Solution:
We know that,
[tex](g\circ f)(a)=g[f(a)][/tex]
If [tex]f(a)=a^2-4[/tex] and [tex]g(a)=\sqrt{a}[/tex], then
[tex](g\circ f)(a)=g[a^2-4][/tex]
[tex](g\circ f)(a)=\sqrt{a^2-4}\neq |a|-2[/tex]
Option A is incorrect.
If [tex]f(a)=\dfrac{1}{2}a-1[/tex] and [tex]g(a)=2a-2[/tex], then
[tex](g\circ f)(a)=g[\dfrac{1}{2}a-1][/tex]
[tex](g\circ f)(a)=2(\dfrac{1}{2}a-1)-2[/tex]
[tex](g\circ f)(a)=a-2-2[/tex]
[tex](g\circ f)(a)=a-4\neq |a|-2[/tex]
Option B is incorrect.
If [tex]f(a)=5+a^2[/tex] and [tex]g(a)=\sqrt{a-5}-2[/tex], then
[tex](g\circ f)(a)=g[5+a^2][/tex]
[tex](g\circ f)(a)=\sqrt{5+a^2-5}-2[/tex]
[tex](g\circ f)(a)=\sqrt{a^2}-2[/tex]
[tex](g\circ f)(a)=|a|-2[/tex]
Option C is correct.
If [tex]f(a)=3-3a[/tex] and [tex]g(a)=4a-5[/tex], then
[tex](g\circ f)(a)=g[3-3a][/tex]
[tex](g\circ f)(a)=4(3-3a)-5[/tex]
[tex](g\circ f)(a)=12-12a-5[/tex]
[tex](g\circ f)(a)=7-12x\neq |a|-2[/tex]
Option D is incorrect.
Therefore, the correct option is C.
I am so stressed can someone please help me
It’s 53 points
Answer:
(3,1)
Step-by-step explanation:
Timed!! Answer hurry!
Is the following relation a function?
Yes
No
Answer:
.....yes
Step-by-step explanation:
BRainliest and 5stars question below
9514 1404 393
Answer:
∆KAF, by rule LA
Step-by-step explanation:
The angle bisector divides angle FAP into two equal angles KAF and KAP. The two right triangles share side KA, so we have a leg KA and an angle KAF, KAP that are the same in the two triangles. That is enough to invoke rule LA (leg, angle) to claim congruence.
∆KAP ≅ ∆KAF by rule LA
please answer this :(
Answer:
X+2 metres. Just use a^+2ab+b^2
Can someone check if my friend did it right?
Answer:
3 mi : 5 mi or 3 mi/5 mi
Step-by-step explanation:
Answer: it’s 3/5 (fraction form)
Hope this helps :)
Step-by-step explanation:
Put the first number on top and the second on the bottom, then simplify them.
PLEASE HELP. WILL MARK BRAINLIEST. !!50 points!!
Triangle A"B"C" is formed using the translation (x +0, y+ 2) and the dilation by a scale factor of 2 from the origin. Which equation explains the relationship between line
AC and line A"C"?
A. Line AC
——————- = 2
A"C"
B. Line A" C" 1
————— = —
AC 2
C. Line A"C"
Line AC = —————-
2
D. Line AC
Line A"C" = —————
2
Answer: i dont understand the question can you please elaborate
Step-by-step explanation:
What is 1/4(8+x+4) simplified using the distributive property
Answer:
1/4x+3
Step-by-step explanation:
1/4(8+x+4)
1/4 *8 + 1/4*x+1/4*4
2+1/4x+ 1
1/4x+3
Hope this helps you!
Happy holidays!
Have a merry christmas and new year!
Answer:
2+1/4x+1
3+1/4x
Step-by-step explanation:
There you go final answe is
3+1/4x
Find the solution set of the inequality
- 4x + 35 > 2
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x < 33/4
Interval Notation:
(− ∞, 33/4)
Helppppppppppppppppppppp
Answer:
true
Step-by-step explanation:
solve cos^30- sin^30
Answer:
hi
Step-by-step explanation:
hdisbkaab
bhai kyun dimag kharab kr raha hai chup chap apni mam se puchMartina spent $24 on fruit at the grocery store. She spent a total of $80 at the store. What percentage of the total did she spend on fruit?
Answer: 30%
Step-by-step explanation:
She spent $24 dollars out of the total money she had which was $80. The 24 represents the portion of the money that was spent on fruits. So therefore to find the percentage for put the portion used ($24) divided by the the total ($80) multiplied by a hundred to get the 30%.
Hellllllllppppppppppppppppppppppp
Answer:
All of the degrees add up to 90. Therefore, right angle.
Find the measures of the exterior angle.
Answer:126
Step-by-step explanation:
I need help with this I’ll mark you
Answer:
The answer is C
Which of the following is a better buy?
7 tickets for $22.75
10 tickets for $31.50
Answer:
10 tickets for $31.50
Step-by-step explanation:
So If we divide 22.75 by 7 it gives you 3 dollars and 25 cents per ticket
If you divide 31.50 by 10 it gives you 3 dollars and 15 cents.
So In conclusion 10 tickets for $31.50 dollars is the better buy
Answer:
10 Tickets Is The Better Deal
Step-by-step explanation:
So What You Do Is You Will Divide 22.75 By 7
You Will Get 3.25! That Means Its 3.25 Each For 7 Tickets
For The Next One You Do The Same Thing
You Want To Divide 31.50 By 10
You Will Get 3.15! That Means Its 3.15 Each For 10 Tickets
So 3.15 Is 10 Cheaper Than 3.25 So Getting 10 Tickets Is A Better Deal
Hope This Help
DOH! My Brain Hurts
please answerrrrr!!! im soo confused!!!
Answer:
97%
Step-by-step explanation:
If you get 100% on a test, you got all the answers correct.
It doesn't matter how many questions there are. If you got all of them correct, you get 100%.
What if you have 100 questions on a test?
If you got 85 questions correct, on a 100 question test, your grade would be 85%.
If you got 35 questions correct, on a 100 question test, your grade would be 35%.
If you got 98 questions correct, on a 100 question test, your grade would be 98%.
If you count 100 trees, and 97 of them were evergreen, the percentage of trees that are evergreen would be 97%.
2 cm on a map is equal to 3 km in real life. If two points are 8 cm apart on the map, how far apart are they in real life?
Answer:
12km in real life.
Step-by-step explanation:
Please mark brainliest.
Q#2 Pleaseeee answer my guy it’s literally the biggest grade I got and I’m tiredddd
Answer:
Add 3 to both sides.
2x=9+3
simplify 9+3 to 12
2x=12
Divide both sides by 12
x= 12
2
simplify
x=12
Help me please, thank you :)
Answer:
300 children
Step-by-step explanation:
half hour: 25 children
1 hour: 25×2= 50 children
6 hours: 50×6= 300 children
hope it helps ☺️!
answer this correctly please
Answer:
8x-25
Step-by-step explanation:
What number can you divide both 4 and 2 by?
Answer:
Well, an infinite amount of numbers. . .
Step-by-step explanation:
1 and 2 would work
The solution to the system of equations shown is (2, 0).3x − 2y = 6x + 4y = 2When the first equation is multiplied by 2, the sum of the two equations is equivalent to 7x = 14.Which system of equations will also have a solution of (2, 0)?6x - 4y = 6x + 4y = 26x − 4y = 62x + 8y = 2x + 4y = 27x = 146x − 4y = 67x = 14
the answer is c i got it on edge 2020
Answer:
c
Step-by-step explanation:
Last month, Sheldon earned $12.80 in interest on a $320 deposit into his bank account. If the interest earned is directly proportional to the amount deposited, how much interest can Sheldon expect next month if he deposits $830?
Answer:
$487.20
The answer is $487.20 if he expects to deposits $830.
1 is what percent of 4?
A. 23%
B. 24%
C. 25%
D. 30%
Answer:
C: 25%
Step-by-step explanation:
1/4 = 0.25 = 25%
I hope this helped and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!
Answer:
C
Step-by-step explanation:
1 divided by 4 is .25, move the decimal over two points and you get 25%.
kevin has a ratio of 2 wrong answers to 7 correct answers on his math test. If he got 6 questions ewrong then how many did he answr correctly
Answer:
21 questions
Step-by-step explanation:
Given
[tex]Wrong : Right = 2:7[/tex]
Required
Determine the number of correct answers if he answered 6 wrongly
The required ratio can be represented as:
[tex]Wrong : Right = 6 : X[/tex]
Where X represents number of right answers for 6 wrong answers.
Next, we equate both ratios:
[tex]6:X = 2:7[/tex]
Convert to fraction
[tex]\frac{6}{X} = \frac{2}{7}[/tex]
Cross Multiply
[tex]X * 2 = 6 * 7[/tex]
[tex]2X = 42[/tex]
Divide through by 2
[tex]X = 21[/tex]
Hence, he answered 21 correctly
What are the missing angles?
Can someone solve this for me please?
1/3h = -2/3
Answer:
h = -2
Step-by-step explanation:
Just plug it into a calculator
Answer:
h=-2
Step-by-step explanation:
1/3h = -2/3
To find the h divide both sides by 1/3.
1/3h÷1/3 = -2/3÷1/3
h=-2
i need help please!! its math !
Answer:
perimeter = 2(8x+3) + 2(5) area= (8x+3) • 5
Step-by-step explanation:
perimeter = 2(length) + 2(width)
if length equals (8x+3) and width equals 5 then you would just plug those numbers into the equation which gives you...
perimeter = 2(8x+3) + 2(5)
area = length • width
like i previously said above if length equals (8x+3) and width equals 5 than you would just plug those numbers into the equation which gives you...
area = (8x+3) • 5
1,232 divided by 8 =?
Show your work!
Answer:
154
Step-by-step explanation:
just divide 1232 and 8
(long division)