2. Let f(x) = 4x + 12 and g(x) = 4x2 – 12.
(a) What is the inverse of function f?
(b) Is f an inverse of g? Show your work algebraically and explain your answer
Answer:
Answer:
(a) f^-1(x) = 1/4x -3
(b) f is not the inverse of g
Step-by-step explanation:
(a)The inverse of function f can be found by solving ...
x = f(y)
x = 4y +12
x -12 = 4y
x/4 -3 = y
The inverse of function f is ...
f^-1(x) = 1/4x -3
__
(b)g(x) ≠ f^-1(x), so g^-1(x) ≠ f(x). Function f is not an inverse of g.
_____
Additional comment
Function g is a quadratic, so it doesn't have an inverse function, except on a restricted domain.
Because g is 2nd degree, any inverse relation will involve a 1/2 power (square root). Both f and its inverse are linear functions, so cannot be inverses of g.
8 times 1/2 Pretty basic
Answer:
4
Step-by-step explanation:
8 * 1/2 = (8*1)/2 = 8 / 2 = 4
Hurry answer plsss I'll give brainlest
Answer:
2.32x10^-11
here ya go luv <3
HELP ME!! (only solve A)
Answer:
5.2
?
Step-by-step explanation:
[tex]\text{Given that,}\\\\(x_1,y_1) = (5,2)~~ \text{And} ~~ (x_2,y_2) =(1,0)\\\\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{0 - 2}{1 -5} = \dfrac{-2}{-4} = \dfrac 12[/tex]
Rewrite the linear equation 2x = 13y – 9 in slope-intercept form
Answer:
[tex]y \: = \: \frac{2}{13} x \: + \: \frac{9}{13} [/tex]
Step-by-step explanation:
we need to write it in the form y = mx + c where m is the slope(gradient) and y is the y intercept
1) add 9 to both sides
2x = 13y - 9
2x + 9 = 13y
2)divide 13 on both sides
2x + 9 = 13y
2/13x + 9/13 = y
final equation is
[tex]y \: = \: \frac{2}{13} x \: + \: \frac{9}{13} [/tex]
MY HEAD IS HURTING I BEG FOR YOUR HELP. I WILL MARK BRAINLIST!!
Answer: No association
Step-by-step explanation:
There is absolutely no pattern going on. This means that the miles ran per week are not really affecting the standing heartbeat. Therefore, I'd say there is no association.
The supplement of the complement of an angle is 132 degrees. What is the supplement of that angle
Based on the information given, it should be noted that the supplement will be 48°.
It should be noted that two angles are called supplementary angles when the values that are added together will be equal to 180°.
In this case, we've been informed that one of the angles is 132°. Therefore, the value of the second angle will be:
= 180° - 132°
= 48°
The second angle is 48°.
Learn more about angles on:
https://brainly.com/question/23991796
Hi, let me help you out!
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In this problem, we're trying to find the supplement of [tex]\tt{132\textdegree}[/tex].
Supplementary angles add up to [tex]\tt{180\textdegree}[/tex].
So, let's find its supplement:
[tex]\tt{\angle x+132=180}[/tex], where x is the unknown angle.
Subtract 132 from both sides of the equal sign:
[tex]\boxed{\tt{\angle x=48\textdegree}}[/tex] [tex]\longleftarrow\tt{We\:conclude\:that\:this\:is\:the\:answer.}[/tex]
I hope it helps you! Have an awesome day!
If you need any explanation or clarification, feel free to comment and ask me, and I'll respond asap and do my best to help you out! :D
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What is the smallest two-digit integer $n$ such that switching its digits and then adding 3 results in $2n$
We can write
n = 10a + b
where a and b belong to {1, 2, 3, …, 9}.
Swapping the digits produces a new number
n' = 10b + a
and adding 3 to this number makes up 2n,
n' + 3 = 2n
or
(10b + a) + 3 = 2 (10a + b)
so that
19a - 8b = 3
Since we want n to be the smallest possible 2-digit number that meets the criteria, let's start with a = 1. Then solving for b, we find
19 - 8b = 3
16 = 8b
b = 2
So, the number we're looking for is n = 12.
Just to confirm, swapping the digits gives 21, and 21 + 3 = 24 = 2•12.
question y+5/y+6=5/4
pleas answere this question it is really hard for me I will be thankfull
Refer to the attachment.
=》y = -10
_____
Hope it helps ⚜
[tex]2(a+11)=-3(16-a)\\\\ also this\\2(x+10)=2(3x-8)[/tex]
can ya'll solve this for me please
Answer:
sorry no
Step-by-step explanation:
A number is equal to 3 times a smaller number. Also, the sum of the smaller number and 4 is the larger number. The
situation is graphed on the coordinate plane below, where x represents the smaller number and y represents the
larger number.
Which two equations represent the situation?
A. y = 1/3x and y = x - 4
B. y = 1/3x and y = x + 4
C. y = 3x and y = x + 4
D. y = 3x and y = x - 4
Sarah wants to find out how much time it would take to drive from her home to New York. At an average, she would drive at 55 miles per hour. If the distance to be covered is 1150 km and a mile equals 1. 61 km, how much time will the trip take (to the nearest hour)? 13 hours 21 hours 29 hours 34 hours.
Answer:
A
Step-by-step explanation:
d = 1150 km = 1150 km / 1.61 miles = 714.29 miles
r = 55 mph
d / r = time
714.29 / 55 = 12.99 hours.
The closest time to that is 13 hours.
Need help ASAP! Solve for x. Problem in picture;)
What exactly is we supposed to do?
I'll answer it after u answer my question
Answer:
x=40
Step-by-step explanation:
46+57=103
180-103=77
180-162=18
180-58=122
122+18=140
140+x=180
x=40
which lines are parallel? how do you know?
help asap please ill give brainliest
Which expression is equivalent to (5^3)-2
Answer:
D)
Step-by-step explanation:
what is this using Distributive property 6(n + 4)
Answer:
6n + 24
Step-by-step explanation:
3 hours = minutes
2 hours 25 minutes. =. minutes
Answer:
180, 145
Step-by-step explanation:
There are 60 minutes in an hour, so we do 3*60=180 for the first one.
For the second one, we first find the minutes in 2 hours, which is 2*60=120. We add 120+25 and get 45.
Solve each equation
6y-8-6-8y=4
Answer:
y = -9
Step-by-step explanation:
Combine like terms first; 6y-8y=-2y and -8-6=-14
-2y-14=4.
Then add 14 to both sides.
-2y=18
Lastly, divide both sides by -2
y=-9
Answer: = -9
Step-by-step explanation:
1. subtract -8-6 which equals -14
2. Combine like terms which are -8y and 6y and you should get -2y
3. Add 14 on both sides eliminate the -14 on one side. it should be -2y = 18
4. Now you want to get y all on its own so you divide -2 on both sides -2y/2 = 18/-2
5. and you should be able to cancel out -2y and get y= -9
take a factor out of the square root: 4√450
Answer:
60√2
Step-by-step explanation:
Factor the value 450
450 = 9 x 50 = 9 x 5 x 2
4√450 = [tex]4\sqrt{9*25*2[/tex]
= [tex]4*3*5\sqrt2[/tex]
= [tex]60\sqrt2[/tex]
[tex]60\sqrt2[/tex]
-Chetan K
Following are the calculation to the square root:
Given:
[tex]\bold{4 \sqrt{450}}[/tex]
To find:
square root=?
Solution:
Calculating the factor of 450:
[tex]\to 450 = 9 \times 50 = 9 \times 5 \times 2 \\\\\to 4\sqrt{450} =4 \sqrt{ 9 \times 25 \times 2}\\\\[/tex]
[tex]=4 \times 3 \times 5 \sqrt{2} \\\\ =60 \sqrt{2} \\\\[/tex]
Therefore, the final answer is "[tex]60 \sqrt{2}[/tex]".
Learn more:
brainly.com/question/19795061
these are the last 2 I need
Answer:
A and A
Step-by-step explanation:
I’ll give 100 points
Answer:
2055 is the answer.
Step-by-step explanation:
If x represents the number of minutes and y represents the hiker elevation in feet.
y = 8.19x + 663
y = 8.19(170) + 663
y = 1392.3 + 663
y = 2055.3
Hope it helps:)
Answer:
:)
Step-by-step explanation:
REPOST BECAUSE OF LINKS ASAP WORTH 70 POINTS IF U ANSWER
It is recommended that you work this out on graph paper to help answer the questions. Maria plots the locations of 4 places on a coordinate grid as given below (It is recommended that you work this out on graph paper to help answer the questions.):
Her house is at (−4, 9).
Her school is at (−4, 3).
The community center is at (1, 3).
The grocery store is at (−4, −8).
Is the total distance from Maria's house to the school to the grocery store greater than the total distance from Maria's house to the school to the community center? Justify your answer.
Answer/Step-by-step explanation:
9-3= 6 units (since x coordinates are same). We can also show by manually counting the squares (1 square= 1 unit)
Yes, its greater. Distance from house to school is 6. Distance from school to grocery is 3-(-8)= 11. Thus, distance is 11+6= 17 units.
Distance from house to school is 6. Distance from school to community center is 1-(-4)=5. Thus, distance= 6+5=11 units.
8a+3.28=46.28
solve for a please ik I already asked but I need to pass this test thank you :)
Answer:
A=5.375
Step-by-step explanation:
46.28-3.28= 43
43÷8= 5.375
I hope this helps
solve for x
plsss. & then solve for y
Answer:
x=22, y=35
Step-by-step explanation:
since this is an isosceles triangle, 3x-11 = 2x+11. so x=22
since this is a triangle 3x-11 + 2x+11 + 2y = 180. plug in x and simplify to get 2y+110=180, so 2y=70 and y=35
Which set of ordered pairs represents a constant rate of change?
A) (0,1) (1,2) (2,4) (3,6)
B) (0, 1) (1.2) (2,2) (3,2)
C) (0, 2) (1,4) (2,6) (3, 8)
D) (0, 2) (1,2) (2, 4) (3,8)
Answer:
Not a because it is only consistant with x not y because it goes 1 2 4 then 6
not b because only consistant with x not y because it goes 1 2 2 2
It is c because it goes 2 4 6 and 8 which is a consistent rate of two.
Step-by-step explanation:
Three years ago Atul's age was four times Parul's age. After 5 years from now, Atul's age will be two times Parul's age. Find their present ages.
Answer:
Parul's age=7 years
Atul's age=19 years
Step-by-step explanation:
Let present age of Parul be x
Let present age of Atul be y
3 years ago
Parul's age=x-3
Atul's age=y-3
5 years after
Parul's age=x+5
Atul's age=y+5
According to question
y-3=4(x-3)
y-3=4x-12
y-4x+9=0.....(1)
y+5=2(x+5)
y+5=2x+10
y-2x-5=0......(2)
from(1),y=4x-9
Put y in (2)
4x-9-2x-5=0
2x-14
2x=14
x=7
y=19
Parul's age=7 years
Atul's age=19 years
40 hours is what part of 120 hours
Answer:
1/3 part of 120 hours....
Which problem would you use the following proportion to solve for?
24/x = 40/100
A. What is 40% of 24?
B. Twenty-four is 40% of what number?
C. What percent is 24 of 40?
D. Forty percent of 24 is what number?
Answer:
B
Step-by-step explanation:
40/100 is equal to 40% so 24/x =40/100 means 24 is 40% of x
"a deposit plus $8 per hour"
Answer:
d + 8/hr
Step-by-step explanation: