algebraically find the inverse of a function
9514 1404 393
Answer:
1) f⁻¹(x) = 6 ± 2√(x -1)
3) y = (x +4)² -2
5) y = (x -4)³ -4
Step-by-step explanation:
In general, swap x and y, then solve for y. Quadratics, as in the first problem, do not have an inverse function: the inverse relation is double-valued, unless the domain is restricted. Here, we're just going to consider these to be "solve for ..." problems, without too much concern for domain or range.
__
1) x = f(y)
x = (1/4)(y -6)² +1
4(x -1) = (y-6)² . . . . . . subtract 1, multiply by 4
±2√(x -1) = y -6 . . . . square root
y = 6 ± 2√(x -1) . . . . inverse relation
f⁻¹(x) = 6 ± 2√(x -1) . . . . in functional form
__
3) x = √(y +2) -4
x +4 = √(y +2) . . . . add 4
(x +4)² = y +2 . . . . square both sides
y = (x +4)² -2 . . . . . subtract 2
__
5) x = ∛(y +4) +4
x -4 = ∛(y +4) . . . . . subtract 4
(x -4)³ = y +4 . . . . . cube both sides
y = (x -4)³ -4 . . . . . . subtract 4
Referring to the figure, find the value of x
Answer:
x = 18
Step-by-step explanation:
All triangle angles add up to 180 so:
x + 5x + 72 = 180
6x + 72 = 180
6x = 180 - 72
6x = 108
x = 18
Answer:
21.6
Step-by-step explanation:
5x+72=180 (set it to 180 because the total angle sum of a triangle is 180)
5x=108
x=21.6
Hi I need ur help! (And this is the other one if you saw my last question)
Answer:
Hi gimmie brainly
thanks
A chef used 1/4 bag of potatoes to make 1/9 of a gallon
of stew. if he wanted to make a full gallon of stew, how many bags of potatoes would he need?
Answer:
its c
Step-by-step explanation:
Triangle ABC is similar to triangle DEF. Find the measure of side DE. Round your
answer to the nearest tenth if necessary.
8
B
F
31
E
Ď
13-7
D
Answer:
53.1
Step-by-step explanation:
They're equal, so 8 = 31 and 13.7 = x
8/31 = 13.7/x
31(13.7) / 8 = 53.0875
Round your answer to nearest tenth to get 53.1
The rounded length of DE is 53.1.
What is similar triangles?
Similar triangles are triangles that have the same shape, but their sizes may vary.
What is the measure of DE?The both the triangles are similar, so the side length CB will be equal to FE and the side length AB will be equal to DE. Hence, the equation formed will be,
[tex]\frac{8}{31}=\frac{13.7}{DE}[/tex]
On solving this equation, we have DE=53.0875.
Therefore, the rounded length of DE is 53.1.
Learn more: https://brainly.com/question/870035
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Which value of m makes the equation true?
8+m=27
Hurry I need an answer!!!!
Answer:
19
Step-by-step explanation:
given that 8 + m = 27
we need to find m
we can do this by isolating the variable using inverse operations
8 + m = 27
we want to get rid of the 8 in 8 + m
The opposite of addition is subtraction
So we want to subtract by 8 but remember what ever we do to one side we want to do to the other side
So we subtract 8 from each side
8 - 8 cancels out
27 - 8 = 19
we're left with m = 19
HELP NOW WHOEVER ANSWERS FIRST WILL GIVE BRAINLYIST
Answer:
c
Step-by-step explanation:
use the pythagorean theorem
Answer:
Its 8
I know this because its bigger than 7 and it cant be 9
If Andy had an ending balance of $5600 and Charlie had an ending balance of $5624.32, what is the difference in their account balances?
Answer:
charlie has 624.32 more than andy
Step-by-step explanation:
im smart trust
there are between 24 and 40 students in a class. give the ratio of boys to girls
I will give you 50 points!!!!!!!
Answer:
1:1.66
Step-by-step explanation:
you can round it up to 1:1.7 if that's what your teacher says
Answer:
33 students
If you divided the class into groups with 4 boys and 7 girls in each group, there will be 11 students in each group.
The total number of students in the class therefore must be a multiple of 11.
The only multiple of 11 between 24 and 40 is 33.
There are therefore 33 students.
4/11×33=12 are boys and 7/11×33=21are girls.
12:21= 4:7
hope it helps you
please mark me as brainlist
Select all of the following that can be a counterexample for the statement below.
If x is an integer, then x + 2 >7
1- -2
2- 0
3- 3
4- 4
5- 6
6- 8
Answer:
-2. 0. 3. 4
Step-by-step explanation:
counterexample are the opposite so ur gonna chose the false ones the number has to be less than 7 so -2 0 3 4
Some one please help me ASAP
Answer:
The answer is 4
Step-by-step explanation:
The angles in a triangle add up to 180 degrees.
You have two angles given 90(right angle) and 57.
Add them to get 147 then subtract from 180.
180 - 147 = 33
Set 33 equal to the expression
33 = 4x + 17
33- 17 = 4x
16 = 4x
4 = x
A sequence can be generated by using an=12an−1, where n is a whole number greater than or equal to 1.
Given a9=12, what is a10?
5
6
13
24
Answer:
8, 11, 14, 17
Step-by-step explanation:
For example,
Given: an=2an−1−xan=2an−1−x
a5=99a5=99
a3=27a3=27
a5=2a4−x=2(2a3−x)−x=4a3−3x=99a5=2a4−x=2(2a3−x)−x=4a3−3x=99
4(27)−3x=994(27)−3x=993x=108−99=93x=108−99=9
x=3x=3
a rectangle with an area of 4/7m^2 is dilated by a scale factor of 7 what is the area of the dilated rectangle enter your answer in the box do not leave answer as a fraction
9514 1404 393
Answer:
28 m²
Step-by-step explanation:
The area of the dilated figure is the original area multiplied by the square of the dilation factor.
A' = 7²×A
A' = 49×(4/7 m²) = 28 m²
The area of the dilated rectangle is 28 m².
f(6) if f(x)=4x what's the answer?
a.24
b.10
c.16
or is it d.2
Answer:
Hi! The answer to your question is A. 24
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!!
- Brooklynn Deka
help please xoxoxoxoxo
I have the answer but you have to come to discovery.hxuj.com
3. A savings account has a 3% interest rate. (a) Complete the ratio table shown. Show your work. Deposit ($) 100 50 300 Interest ($) 3 12 6 36 (b) How much more interest would you have if you deposited $200 than if you deposited $150? Show your work.
Answer:
Wait what
Step-by-step explanation:
please help me out hereeeeeeeeeeee
Answer:
divide by 1k
Step-by-step explanation:
Answer:
Option B:Multiply by 1,000
Step-by-step explanation:
Since,
1 litre = 1000ml
Hence,
3.2 litre = 3.2 × 1000 ml = 3200 ml
So,
Option B that is to Multiply by 1000 is correct.
HELP MATH QUESTION!!!!
Answer:
Keep it up
Step-by-step explanation:
Your teacher is nice for posting it to you iif you can not solve again brick it to me and followed me
Can someone help me with this question plz.
Answer:
........................point A
Answer:
point C
Step-by-step explanation:
if you count from 0 with the difference of number 5 then it will be 0.75 in point C
PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.
I see 2 people sitting on the bench at the playground. One was Deaf and one was blind.
A name was called, and one left. Who was that?
Answer:
the blind one
Step-by-step explanation:
Evaluate 6 + x when x = 3
Answer:
6+3 = 9
Glad I could help :)
I WILL GIVR U BRAINERLEST AND A LIKE
The windows in an office building are
shaped like parallelograms. The base of
each window is 1.8 meters and the
height is 1.5 meters. What is the area
of each window?

Answer:2.7
Step-by-step explanation:
Just multily the 2 products
Find the value of x that makes A || B.
1
2
B
4
3
5
L2 = 3x – 10 and Z3 = x + 30
x = [ ? ]
Answer:
x=20
Step-by-step explanation:
3x-10=x+30
2x-10=30
2x=40
x=20
Answer:
X=20
Step-by-step explanation:
So their alternate interior angle which is equal
3x-10=x+30
Solve and you would get 20
Nick is making bread dough. The recipe requires 3/4 cup of flour and 1 1/8 teaspoons of salt. • Nick wants to make the recipe using 1 cup of flour. To maintain the ratio, how much salt is required when 1 cup of flour is used?
Answer:
1 1/2 teaspoons!
Step-by-step explanation:
Answer:
1 1/2 teaspoons
Step-by-step explanation:
3/4 is to 1 1/8 as 1 is to x
converting 1 1/8 to an improper fraction gives:
3/4 is to 9/8 as 1 is to x
(3/4)/(9/8) = 1/x
cross multiply
(3/4)x = 9/8
multiply both sides by 4/3
x = (9/8)(4/3)
x = = 3/2 = 1 1/2
1 1/2 teaspoons of salt are needed
Ben can use 3 cups of flour to make 2 batches of cookies. If he has 6 cups of flour, then how many batches of cookies can he make?
Answer:
4 batches of cookies
Step-by-step explanation:
14 yd
4. Rondell draws the semicircle shown at the
right. What is the area of the semicircle?
Use 3.14 for T. (Examples 4 and 5)
7x+2x+4 what is the answer
Answer:
9x+4
Step-by-step explanation:
yo im back whats 2+2
Answer:
Its 4
Step-by-step explanation:
[tex]2 + 2 = 4 \\ [/tex]
Answer:
2+2=4 lol
And it says I need 20 characters so here are the 20 characters, bRaInLy
Which is more, 45 dimes or 450 pennies?
Answer:
they are equal
Step-by-step explanation:
1 dime is equal to 10 pennies
so 45x10 = 450
450=450
Answer:
They are equal 45 dimes is equivalent to 450 pennies.
Step-by-step explanation:
I'm smart.
