Consider the function f(x) = x2 – 331. Chivonne claims a domain restriction x ≥ 0 produces the inverse function f–1(x) = StartRoot x minus 331 EndRoot . Which statement describes whether Chivonne is correct? The expression for f–1(x) is correct, but the domain restriction is not. The domain restriction is correct, but the expression for f–1(x) is not. Both the expression for f–1(x) and the domain restriction are correct. Neither the domain restriction nor the expression for f–1(x) is correct.
Answers
Answer:
The correct option is;
The domain restriction is correct but the expression for f⁻¹(x) is not
Step-by-step explanation:
The expression for the function is given as follows;
f(x) = x² - 331
The inverse function suggested = f⁻¹(x) = √(x-331)
The domain restriction is x ≥ 0
The inverse function if given as follows;
y = x² - 331 (Interchange x and y to get)
x = y² - 331
x + 331 = y²
y = ±√(x + 331)
Given that the domain restriction has been put as x ≥ 0, we select the + case to give;
f⁻¹(x) = √(x + 331)
Therefore, the domain restriction is correct but the expression for f⁻¹(x) is not.
Answer: B
The domain restriction is correct, but the expression for f–1(x) is not.
Step-by-step explanation:
Related Questions
When Emmett began his science experiment, he has 20 millimeters of an unknown solution. During the experiment, the change in the volume of the solution was -9 milliliters. What was his final volume of the solution.
To solve the problem, dakota added 20+( -9 ) and came up with an answer of -11 milliliters. Is Dakota correct? Why or why not ?
A : yes, dakota is correct
B: No. The answer should have been 11 milliliters, not -11 milliliters, because the volume should not be negative
C: No. Dakota should have subtracted 20 - (-9) because the volume decreased
Answers
Answer:
no the answer should be 11
Step-by-step explanation:
Identify which values are solutions of 4x −7 ≤ −1.
Answers
Answer:
Step-by-step explanation:
4x-7≤-1
4x≤-1+7
4x≤6
2x≤3
[tex]x \leq \frac{3}{2}\\or~x \leq 1.5[/tex]
If ∠ABD and ∠CBD are a linear pair, m∠ABD = (3x+31)°, m∠CBD = (2x-6)°, then find m∠ABD. *
Answers
Answer:
∠ ABD = 124°
Step-by-step explanation:
A linear pair of angles sum to 180°, thus
∠ ABD + ∠ CBD = 180 , substitute values
3x + 31 + 2x - 6 = 180, that is
5x + 25 = 180 ( subtract 25 from both sides )
5x = 155 ( divide both sides by 5 )
x = 31
Thus
∠ ABD = 3x + 31 = 3(31) + 31 = 93 + 31 = 124°
Side AB measures five units, Side BC is two units, Side CD is five units, side DA is two units. what is the correct length for each side of the translated figure
Answers
Answer:
Step-by-step explanation:
It's given in this question,
Length of side AB = length of side CD = 5 units
Length of side BC = length of side AD = 2 units
If the given quadrilateral is translated lengths of all the image sides will not be equal because translation of a figure is a rigid transformation.
And in rigid transformations length of the sides and the angles between the sides never change.
Answer:
first is 5 second is 2 then the third on is 5 then last on is 2 so the order should be 5,2,5,2 Step-by-step explanation:
plz help quick i will mark u brainlyest
Answers
9514 1404 393
Answer:
see the attachment
Step-by-step explanation:
Each point is moved 4 units up and 5 units right, as required by the problem statement.
Coordinates are positive in the "up" and "right" directions, so we take "4 units vertically" to mean +4 units, or 4 units up. Likewise, we take "5 units horizontally" to mean +5 units, or 5 units to the right.
When a number is “cubed” what is it’s exponent
Answers
Please solve! 50 points
Answers
Answer:
36
Step-by-step explanation:
First of all, the area of a circle is always pi(r)^2, which we can then substitute values. We will get pi(10)^2, and once we simplify that, we get 100pi as the area. Since we know that the area of the shaded sector is 10 pi, we can divide 10pi by 100pi to get 1/10. 1/10 is the area of the shaded sector compared to the area of the whole circle. Multiply 1/10 by the angle measure of a circle, which is 360, to get 36 degrees.
Answer:
36
Step-by-step explanation:
The answer is 36 trust me
Based on the pattern, what are the next two terms of the sequence? 9, 15, 21, 27, . . .
Answers
Answer: 33,39
Step-by-step explanation:
Counting by 6's
Write an equation in slope-intercept form of the line that is a segment bisector of both AB and CD. Ay 4 B(6,3) A(-4,1) -4 -2 2. 4 6 X D(5, -1) -2 4 C1-1,-5) -6
Answers
Answer:
y = -5x + 7
Step-by-step explanation:
Given that the location of the points are:
A(-4, 1), B(6, 3), C(-1, -5) and D(5, -1)
The location of the bisector of a line is given as:
[tex]x=\frac{x_1+x_2}{2} \\\\y=\frac{y_1+y_2}{2}[/tex]
If E(x1, y1) is the bisector of segment AB then the location of E is at:
[tex]x_1 =\frac{-4+6}{2}=1 \\\\y_1=\frac{1+3}{2}=2[/tex]
Hence E is at (1, 2)
If F(x2, y2) is the bisector of segment CD then the location of F is at:
[tex]x_2 =\frac{-1+5}{2}=2 \\\\y_2=\frac{-5-1}{2}=-3[/tex]
Hence F is at (2, -3)
Hence the line that is a segment bisector of both AB and CD pass through the point (1, 2) and (2, -3).
The equation of the line is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-2=\frac{-3-2}{2-1}(x-1)\\ \\y-2=-5(x-1)\\\\y-2=-5x+5\\\\y=-5x+7[/tex]
Answer: The equation is: y = -5x + 7.
Step-by-step explanation:
Given that the location of the points are:
A(-4, 1), B(6, 3), C(-1, -5) and D(5, -1).
Midpoint of A(-4, 1), B(6, 3) is = [tex]\left(\frac{\left(-4+6\right)}{2},\frac{\left(1+3\right)}{2}\right)=(1,2)[/tex].
Midpoint of C(-1, -5) and D(5, -1) is [tex]\left(\frac{\left(-1+5\right)}{2},\frac{\left(-5-1\right)}{2}\right)=(2,-3)[/tex].
Using point slope formula:
[tex]\frac{y-2}{x-1}=\frac{-3-2}{2-1}\\\frac{y-2}{x-1}=-5\\y-2=-5x+5\\y=-5x+7[/tex]
Learn more: https://brainly.com/question/1594198
A car dealership sold 36 cars in April. The dealership wants to increase the number of cars sold by 40% in May. How many cars will the dealership need to sell to reach their goal?
Answers
Answer:
51Step-by-step explanation:
Number of cars sold in April:
36Desired increase rate:
40%Increase in number:
36*40/100 ≈ 15Number of cars to be sold in May:
36 + 15 = 51Answer:
237
Step-by-step explanation:
Combining Like Terms Simplify -2n(9-10n)
Answers
Answer:
-18n+20n^2
you just have to distribute
3+ (-5) explain please i need it asap so... hurry! pls
Answers
Answer:
-2
Step-by-step explanation:
3 + -5
Adding -5 is like subtracting 5
3 -5
-2
Answer:
-2
Step-by-step explanation:
You need to add a positive number and a negative number.
This is how you add a positive number and a negative number.
First, get rid of the signs and make them both positive.
Now you have 5 and 3.
Do a subtraction the way you first learned subtraction in elementary school, which is the larger number minus the smaller number.
5 - 3 = 2
The answer is either 2 or -2.
To finish the original addition, look at the two original numbers. 5 is greater than 3. 5, the greater value, is on a negative number, so the answer is negative.
3 + (-5) = -2
What is the missing output?
Answers
Answer:
28
Step-by-step explanation:
We substitute all of the x's for threes to get the output.
f(3)= 3(9)-(2*3)+7
f(3)= 27-6+7
f(3)= 21+7
f(3)= 28
The ratio of right-handed students to left-handed students is 18:4.
Answers
Answer:
whats the question lol ?
Step-by-step explanation:
What is the prime factorization of 28? Please Help! This is due tomorrow! I really want to get an A! Help, please!!!!!!!!!!!!
Answers
Hope this helps
Evaluate 8a + 3b - 10 + c^2 when a = 2,b = 5 and c = 4
Answers
The answer to your problem is 37.
Help needed ASAP will give BRAINLIEST
Answers
Answer:
B or 2 topical
Step-by-step explanation:
Hope this helps :D
and feel free to click that thanks button
If you give me all the answers I'll mark you brainliest
Answers
Step-by-step explanation:
1. 0.6
2. 0.9
3. 0.13
4. 0.4
name the part of the circle and explain your answer. (not radius)
Answers
Determine the domain and range of the given function. The domain is . The range is
Answers
Answer:
A: all real numbers
and
B: All real numbers greater than or equal to -2
Step-by-step explanation:
edg2021
The domain refers to values on the X-axis, and as you can see there are arrows on the orange line, meaning it goes on "forever". This is all real numbers.
The y-axis (range) has the line go through at -2. The line is pointing up, which means all the numbers are greater than -2, or could be equal to -2.
Answer:
lA: all real numbers
B: All real numbers greater than or equal to -2
Step-by-step explanation:
Lines CE and AD intersect at point B. 37° What is the measure of angle DBE? 370 530 O 1270 0 1430
Answers
Answer:
idk how to answer
Step-by-step explanation:
i need more info
Answer:
127 degrees
Step-by-step explanation:
it obtuse
What are geometric figures?
Answers
THIS IS 80 POINT ANSWER QUICK!!
Answers
The rest of the numbers are irrational.
Hope this can help.
Answer:
irrational are all square roots. rattional numbers are the decimals. If it has a pie, that means that is also irrational. So decimal are rational numbers. Square roots are all irrational number.
Step-by-step explanation:
SAS-10 Worksheet.
1. Create a graph correspond to the map.
Answers
Step-by-step explanation:
texas is big, louisiana is on the bottam side u have to give me a brainly
I need help 9th grade
Answers
b is the correct answer because it equals the amount of the proplem
Answer:
its C.
Step-by-step explanation:
Bamboo plants can grow 91 centimeters per day. What is the approximate growth of the plant in inches? Round to the nearest hundredth
Answers
Answer:
35 in per day Step-by-step explanation:
Simplify 7 to the power of 6 ⋅ 7 to the power of 5.
Answers
7^5 = 16807
so now you multiply
PLZ HELP ASPP WILL MARK UOU AS BRAINLIST
Answers
Answer:
4.5sqrt5
Step-by-step explanation:
Can you please help ASAP!!! WILL MARK YOU BRAINLIEST Which of the following steps would not be necessary when using the square root property to solve a quadratic equation? When taking the square root of both sides, use ± on the square root of the constant. The square root property may be applied only if the constant is positive. Isolate the quantity being squared. After applying the square root property, solve the resulting equations.
Answers
Answer:
The square root property may be applied only if the constant is positive
Step-by-step explanation:
Defenitly sure because I did ASAP also! Your Welcome! Please Mark me Brainliest!
How many apples does ori have in all she said she have 8 but is it correct?
Answers
Answer:
8
Step-by-step explanation:
Answer:
its 8 i think but i need more info
Step-by-step explanation: