Answers
Answer: They are inverses of each other.
Explanation:
f(x) = -x+5
f(g(x)) = -(g(x)) + 5
f(g(x)) = -(-x+5) + 5
f(g(x)) = x - 5 + 5
f(g(x)) = x
The steps to show that g(f(x)) = x are identical to what is shown above. This is because both f(x) and g(x) are the same.
Since f(g(x)) = x and g(f(x)) = x are true, this means the functions are inverses of each other.
Related Questions
Solve the |4X -5|= |-X +5|
Answers
Recall the definition of absolute value:
[tex]|x| = \begin{cases} x & \text{if } x \ge 0 \\ -x & \text{if } x < 0 \end{cases}[/tex]
Then we have a few cases to consider:
• If [tex]4x-5\ge0[/tex] and [tex]-x+5\ge0[/tex], the equation simplifies to
[tex]4x-5 = -x+5 \implies 5x=10 \implies \boxed{x=2}[/tex]
• If [tex]4x-5<0[/tex] and [tex]-x+5\ge0[/tex], we get
[tex]-(4x-5) = -x + 5 \implies -3x = 0 \implies \boxed{x=0}[/tex]
• If [tex]4x-5\ge0[/tex] and [tex]-x+5<0[/tex], then
[tex]4x-5 = -(-x+5) \implies 3x=0 \implies x=0[/tex]
but we already have this solution.
• If [tex]4x-5<0[/tex] and [tex]-x+5<0[/tex], then
[tex]-(4x-5) = -(-x+5) \implies -5x = -10 \implies x=2[/tex]
which we also already found.
Which numbers on the spinner
have less than a 25% probability
of being spun?
Answers
Answer:
1
Step-by-step explanation:
I not completely sure but I think it 1
What will a 68% do to a 72.99%?
Answers
Answer: If you are wondering about your grades, it becomes 70.495. Therefore, your grade becomes a 70.
It will be lowered vy like one or two percent
i think
Find the area of the shape shown below.
2 2 2 2 6
Answers
Answer:
12 units squared
Step-by-step explanation:
This requires a 3-step solution.
1. The triangle on the left:
To get an area for a triangle, you do: base times height divided by 2.
You get 4/2, which is 2 units squared for the first triangle.
2. The square:
Pretty easy, it is 2 x 2 which is 4.
3. The last triangle:
Same thing as the first triangle, 2 x 6 divided by 2.
You get 12/2 which is 6.
To get the final area: You add them up.
2 + 4 + 6, which is 12.
Conner earns 24$ working every 1.5 12 blank
Answers
Answer: That makes no sense. Maybe did your copy and paste corrupt? Or mistyped the question? Get back to me and I’ll help!!
Step-by-step explanation:
20. Marissa has a $50, $20, $10, $5, and $1 bill in
her wallet. She takes the bills out and
randomly line them up. What is the
probability that the first bill is greater than
$5?
Answers
Answer: I believe it would be 60% tell if I am wrong
Step-by-step explanation:
The probability of getting first bill is greater than $5 is 1/5 or 0.2
Probability:
The probability of any event is the mathematical possibility of that event.
Probability is always lies between 0 to 1
Sure event has probability 1 while impossible event probability 0
The formula for probability is
Probability = [tex]\frac{number of favorable event}{total number of event}[/tex]
How to find probability?Here the total event is
S = {$1, $5, $10, $20, $50}
Total number of events = 5
The probability of find greater than $5 is
Probability = 1/5 = 0.2
Hence the final answer is 0.2
Learn more about probability here-
https://brainly.com/question/251701
#SPJ2
What correlations can you use when one or more of the variables are measured on an ordinal scale?
Answers
HEY
For variables at ordinal level use Spearman's correlation. However, Chi-Square is also suitable to use for test of significance with cross tabulation of ordinal level data
thank me later
carryonlearing
✨ jufaith ✨
Is 3x - y = -6 an equation for this graph? EXPLAIN how you know. Hint: try a test point like the the y-intercept to see if it makes a true statement.
Answers
You didn't provide any graphs.
Which of the following statements are true? Select all that apply.
A. ∠3 ≅ ∠2 because they are alternate interior angles.
B. m∠1 + m∠3 = 180° because they form a straight angle.
C. ∠3 ≅ ∠6 because they are alternate interior angles.
D. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.
Answers
The true statement are
2. <1 + <3 = 180 because form a straight angle.
3. ∠3 ≅ ∠6 because they are alternate interior angles.
4. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.
What are parallel lines?
Two lines in a plane are said to be parallel if they do not intersect when extended infinitely in both directions.
Two lines cut by a transversal line are parallel if the corresponding angles so formed are equal. In general, the corresponding angles are in relative positions and lie along the same side of the transversal.Two lines cut by a transversal line are parallel if the alternate interior angles so formed are equal. In general, the pairs of the alternate interior are found in the inner side but lie on the opposite sides of the transversal.Two lines cut by a transversal line are parallel if the alternate exterior angles so formed are equal. In general, the pairs of alternate exterior angles are found on the outer side but lie opposite each other.As, from the figure
1. <3 = <2 because of vertically opposite angle.
Hence, it is false
2. <1 + <3 = 180 because form a straight angle.
Hence, it is true.
3. ∠3 ≅ ∠6 because they are alternate interior angles.
Hence, it is true.
4. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.
Hence, it is true.
Learn more about parallel lines here:
https://brainly.com/question/16701300
#SPJ2
Written as a simplified polynomial in standard form, what is the result when
(2x + 7)2 is subtracted from 2X- 8?
Answers
[tex]2x-8 - (2x+7)^2\\\\=2x-8 -(4x^2 + 2\cdot 2x \cdot 7 + 7^2)\\\\=2x-8-(4x^2 + 28x +49)\\\\=2x - 8 -4x^2-28x -49\\\\=-4x^2 -26x -57\\\\[/tex]
20.4 is what percent of 17?
Answers
Answer:
120%
20.4 is 120% of 17.
Step-by-step explanation:
20.4/17 = 1.2
1.2 x 100 = 120%
Hope this helped. Have a good one!
The property taxes on a house were $600. What was the tax rate if the house was valued at $100,000? Follow the problem solving and round your answer to the nearest hundredth of a percent, if necessary.
Answers
Based on the information given the tax rate if the house was valued at $100,000 is 60%.
Let $600= x%
Let $100,000=100%
Let the tax rate=x
Proportion:
600/100,000=x/100
Hence,
x=600×100/100,000
x=60,000/100,000
x=60/100
x=0.6%×100
x=60%
Inconclusion the tax rate if the house was valued at $100,000 is 60%.
Learn more about tax rate here:https://brainly.com/question/9437038
The tax rate of a house valued at $100,000 with a property tax of $600 is 0.6%. or $6 per $1,000 of property value.
What is property tax?The property tax is the levy imposed on the assessed value of the property of an individual or corporation.
Property tax is usually levied as a percentage of the assessed value.
Data and Calculations:Property tax = $600
House value - $100,000
Tax rate = 0.6% ($600/$100,000 x 100)
Thus, the tax rate of a house valued at $100,000 with a property tax of $600 is 0.6%. or $6 per $1,000 of property value.
Learn more about property tax at https://brainly.com/question/5428406
Example of binomial to polynomial
With a complete solution
Answers
Answer:
A binomial is an algebraic expression that has two non zero terms .eg. b¾+c/3 is a binomial in two variables b and c .
A polynomial is an expression that consists of variables (or indeterminate) terms , exponents and constants eg, 3x (SQUARED) minus 2xminus 10 is a polynomial.
Can anyone help me with this!
Answers
Answer:
I think 14 if not 10
Step-by-step explanation:
<%) pizza
Your class rank in 2018 was 89 out of 360 students. In 2019 your class rank was 95 out of 450 students. a. In which year did you have the higher percentile ranking. b. If you had the data on the cumulative GPA of each student at the end of the spring semester in 2018, which measure of average would be the most meaningful – mean, median, mode? Explain
Answers
A) given that in 2019 you were among the 21.11% of the best students in the class, in that year you had the higher percentile ranking, and B) the measure of average that would be the most meaningful is the median.
Given that your class rank in 2018 was 89 out of 360 students, while in 2019 your class rank was 95 out of 450 students, to determine A) in which year did you have the higher percentile ranking, and B) if you had the data on the cumulative GPA of each student at the end of the spring semester in 2018, which measure of average would be the most meaningful - mean, median or mode -, the following calculation should be performed:
360 = 100 89 = X 89 x 100/360 = X 24.72 = X 450 = 100 95 = X 95 x 100/450 = X 21.11 = X
Therefore, A) given that in 2019 you were among the 21.11% of the best students in the class, in that year you had the higher percentile ranking, and B) the measure of average that would be the most meaningful is the median.
Learn more about maths in https://brainly.com/question/25748895
Seven less than twice a number is 43. What is the number?
Answers
Answer:
25
Step-by-step explanation:
x = the number
2x - 7 = 43
+7 +7
-----------------
2x = 50
------------
2 2
x = 25
A ant runs 45 inches in 15 seconds, a snail crawls 12 inches in 3 seconds. Who is faster? I need help please and thank you :)
Answers
12in/ 3 sec = 4 in/sec
The snail moves at a faster rate then the ant does
Answer:
the snail
Step-by-step explanation:
in order to find who is faster you have to find how many inches each one does in one sec
Ant= 45/15 which is 3 inches per sec.
snail=12/3 which is 4 inches per sec.
so from the above calculations we can see that according to the question given a snail crawls faster than an ant runs
I hope this helps
What type of angle of this?
Answers
Answer:
angle x is equal to 60º so its an acute angle
Step-by-step explanation:
Answer:
x = 60
Step-by-step explanation:
obtuse angle is 180 degres so you subtract the amount that you see and you will get x. This only works for questions like this contact me if you need more help with questions like these
180-120=60
what is the fifth term of the linear sequence which begins 20, 14, 8
Answers
Answer:
The fifth term is -4
Step-by-step explanation:
The sequence has a common difference therefore, it is an arithmetic sequence
The formula for arithmetic sequence is
[tex]an = a1 + (n - 1)d[/tex]
where,
an is the nth term,
a1 is the first term,
n is the term number and
d is the common difference
Find the 5th term.
an = a1 + ( n-1 ) d
a5 = 20 + ( 5-1 ) -6
a5 = 20+ ( -24 )
a5 = -4
The quotient of 2 numbers, p and q
Answers
Answer:
2p/q
2q/p
q/p=2
p/q =2
Step-by-step explanation:
Here are some possible answers. The way your statement is formated in does not ask a question nor does it provide enough information for one to deduce what the question was.
5. Find cos 0 if sin 0= -12/13
and tan 0 > 0.
Answers
Answer:
-512
Step-by-step explanation:
1/4 plus 4/9 divided by -2/3
NO MIXED NUMBERS
Answers
Answer:
The answer is -.17 and that is rounded to the nearest hundredth.
Step-by-step explanation:
Let me know if you need it!
divide,write in simplest form 6 1/2 divided by 3/4
Answers
Answer:
Step-by-step explanation:
Answer:
8 2/3
Step-by-step explanation:
6 1/2 / 3/4
Improper fractions:
[tex]\frac{13}{2} /\frac{3}{4}[/tex]
Reciprocal:
[tex]\frac{13}{2}*\frac{4}{3}[/tex]
Simplify:
[tex]\frac{13}{1}*\frac{2}{3}[/tex]
Solve:
[tex]\frac{26}{3}=8\frac{2}{3}[/tex]
SOMEONE HELP ME PLEASE <3
Answers
Answer:
A.90
Step-by-step explanation:
thank me later
Using the graph of f(x) and g(x), where g(x) = f(-x), determine the value of k
10
9
8
g(x)
f(x)
7
6
5
4
4
3
2
0
0
3
5
6
7
8
영
0-1
-4
ANSWERS:
4
1/4
-1/4
-4
Answers
Answer:
45
Step-by-step explanation:
(f+g)(x)
f(x)= x-3, g(x)= 2x+8
Set A = 3, 4, 7
Set B = 4, 8, 9
What is the union of sets A and B?
Answers
Answer:
Step-by-step explanation:
A∩B = 4
Answer ?? It’s multiplicity
Answers
A regular polygon has 15 sides. Which is a possible angle of rotational symmetry for the figure? 12° 45° 72° 90°
Answers
Answer: 12° can be a possible angle of rotational symmetry
28. A student suggests that she can show (-1)(-1) = 1 using the
fact that -(-1) = 1. Is her reasoning correct? If yes, what
result will she apply? If not, why not?
Answers
Answer:
not
Step-by-step explanation:
because negetive plus negative will equal negative and bot positive
if this is multiplication yes it does apply...-1×-1=1
Simplify. (5b2−3b+2)+(2b−4)
A.5b2+5b+6
B.5b2−5b−6
C.5b2−b−2
D.6b4−2
Answers
Answer:
5b2 - b -2
Step-by-step explanation:
The answer is (c)
5b^2-b-2