Go from right to left in such function questions
a. f(g(x))
⇒ f(4x + 1)
⇒ (4x + 1)² - 2
⇒ 16x² + 8x + 1 - 2
⇒ 16x² + 8x - 1
b. g(f(x))
⇒ g(x² - 2)
⇒ 4(x² - 2) + 1
⇒ 4x² - 7
Answer:
[tex]f[g(x)]=16x^2+8x-1[/tex]
[tex]g[f(x)]=4x^2-7[/tex]
Step-by-step explanation:
Given functions:
[tex]f(x)=x^2 - 2[/tex]
[tex]g(x) =4x + 1[/tex]
[tex]f[g(x)][/tex] means to substitute g(x) in place of x in f(x):
[tex]\begin{aligned}\implies f[g(x)] & =[g(x)]^2-2\\ & =(4x+1)^2-2\\ & = (4x+1)(4x+1)-2\\ & = 16x^2+8x+1-2\\ & = 16x^2+8x-1\end{aligned}[/tex]
[tex]g[f(x)][/tex] means to substitute f(x) in place of x in g(x):
[tex]\begin{aligned}\implies g[f(x)] & =4[f(x)]+1\\ & = 4(x^2-2)+1\\ & = 4x^2-8+1\\ & = 4x^2-7\end{aligned}[/tex]
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST
A jar has 28 cherry-flavored candies, 18 strawberry-flavored candies, and 20 orange-flavored candies. If a piece of candy is taken from the jar at random, what is the probability that it will be strawberry-flavored candy?
Group of answer choices
10/33
1/20
14/33
3/11
Answer:
3/11
Step-by-step explanation:
You add up all of the candies so 20+19+28 which is 66
18 is the number of strawberry candies so it becomes 18 over 66, 18/66
Symplify 18/66 and it becomes 3/11
Ann planted daisies in her garden. After a month, she measured the height of each daisy.
Answer:
the median is 7 for your question center
Having which of the following is a trait for a architectural designer
Answer:
Architect Characteristics
Negotiation Skills
Love of Learning
Broad Knowledge
Love of Nature
Hard Workers
Step-by-step explanation:
THE PYTHAGOREAN THEOREM; FIND THE SHORTER SIDE
A television screen with a 68-inch diagonal is 60 inches wide. How tall is
the television screen?
Answer:
32 inches tall
Step-by-step explanation:
Pythag orean theorem
60^2 + tall^2 = 68^2
tall = 32 inch
Answer number 5 pleaseee
Answer: $17.55
Step-by-step explanation:
We will multiply the bill by 117% to account for the original amount and the tip being given.
117% / 100 -> 1.17
$15 * 1.17 = $17.55
Sarah should leave $17.55 in total.
What is the slope of line a?
у
6
5
3
2
to -54 -3 -2 -
2 3 4
1
-2
-3
-5
-6
o
1
4
0-4
04
0
is
Answer:
The slope equals the rise divided by the run:
Step-by-step explanation:
You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it. So, you can choose any 2 points along the graph of the line to figure out the slope.
I need help plsss ..............
The decimal 132.64 written in expanded form is ______.
Jonny's bedroom has an area of 90 square feet. What might the length and width of his bedroom be
Answer: 30 on both.
Step-by-step explanation: 30 because 3x3 is 9 so then add a zero
Answer: Area is length multiplied by width.
90=10×9
Step-by-step explanation: The sides will be multiplied to get the area.
10 And 9 are the sides
Lisa’s kitchen is 6. 5 m wide and the perimeter is 29. 6 m and rectangular in shape.
Calculate the length of her kitchen.
m
ANSWER: 8.3
EXPLANATION :perimeter= (length + width)2
29.6 m = ( length+6.5)2
29.6 = 2l + 13
29.6 Subtract 13 = 2 lengths
16.6÷2 =2l ÷2
length = 8.3
Two whole numbers have a least common multiple of 24.
Each of these numbers is less than or equal to 12.
The greatest common factor of the two numbers are 4.
What are the two numbers?
A. 6 and 12
B. 8 and 12
C. 4 and 8
D. 4 and 12
Answer:
3
Step-by-step explanation:
hopefully it helps :)
James has6 7/12 cups of flour. He uses 2 5/12 cups to bake some cakes. He uses another 2 8/12 cups to bake some cookies.
How many cups of flour does James have left? Someone please help me i need this asap! <3
Answer:
I believe the answer would be 3/2 or 1 1/2
Step-by-step explanation:
This is how I did it
6 7/12 - 2 5/12 = 4 1/6
Then,
4 1/6 - 2 8/12 = 1 1/2
In decimal form, it'll be 1.5
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I hope i helped you.
HELP! WILL GIVE BRAINLEST!
Answer:
210, 330
Step-by-step explanation:
we know that the angle 30 gives the value of 1/2
so, since we know that sin is negative in both the third and the fourth quadrant, we can find the answer.
make sure to ask if you need any further guidance. :)
what is the ordered pairs for y=6x-3
Answer:
(0,−3),(1,3),(2,9) are possible options
Step-by-step explanation:
Determine if the given relation is function or not. Give its domain and
range.
{(1, 6), (2, 7), (3, 8), (4, 9)}
Answer:
YesStep-by-step explanation:
According to definition of the function, it should have one-to-one relation.
We can see all pairs are unique, no repeated ranges for same domain.
Yes, this is a function.
Given relationship
(1,6)(2,7)(3,8)(4,9)Domain:-
{1,2,3,4}Range:-
{6,7,8,9}As every domain has an unique range it's a function
Select the correct answer.
Simplify the expression.
Answer:
Option D :- [tex] \sf \: 18 {x}^{2} {y}^{2} \sqrt[3]{3 {xy}^{2} }[/tex]
Step-by-step explanation:
[tex] \sf \: 3x\sqrt[3]{648 {x}^{4} {y}^{8} }[/tex]
transform the equation
[tex] \rightarrow \sf \: 3x\sqrt[3]{ {6}^{3} \times {3x}^{2} \times {xy}^{6} \times {y}^{2} }[/tex]
rewrite the expression
[tex] \rightarrow \sf \: 3x \times \sqrt[3]{ {6}^{3}} \times\sqrt[3]{ {3x}^{2}} \times \sqrt[3]{ {xy}^{6} } \times \sqrt[3]{{y}^{2} }[/tex]
Simplify the radical expression
[tex] \rightarrow \sf \: 3x \times {6xy}^{2} \sqrt[3]{3xy {}^{2} }[/tex]
Multiply
[tex] \sf \: 18 {x}^{2} {y}^{2} \sqrt[3]{3 {xy}^{2} }[/tex]
Answer: Option D :-
Step-by-step explanation:
transform the equation
rewrite the expression
Simplify the radical expression
Multiply
Step-by-step explanation:
Chen uses these digit cards.
5,6,9
She makes a 2-digit number and a 1-digit number.
She multiplies them together.
Her answer is a multiple of 10
What could Chens multiplication be?
_ _X_
Answer:
95 x 6
or 96 x 5
Step-by-step explanation:
Solve by logicIf you examine the three numbers, you will see that 5 is the only factor of 10.
If we multiply 5 by an even number, we get a multiple of 10.
If we multiply 5 by an odd number, we get a multiple of 5.
Therefore, the 1-digit number must be 5 or 6, and the last digit of the 2-digit number must be 6 or 5.
This means that the first digit of the 2-digit number has to be 9.
So the options are: 95 x 6 and 96 x 5
Proof56 x 9 = 504
59 x 6 = 354
65 x 9 = 585
69 x 5 = 345
95 x 6 = 570
96 x 5 = 480
**Mulitples of 10 have a zero in the units place**
how do i find the area of parts of circles?
Answer:
Explanation below
Step-by-step explanation:
The equation for the area of a circle is pir^2
To find the area of parts of a circle you would do as the following examples:
the area of half a circle is (1/2)(pir^2)
the area of a quarter of a circle is (1/4)(pir^2)
the area of a third of a circle is (1/3)(pir^2)
the area of a tenth of a circle is (1/10)(pir^2)
can somebod help me with this
kinda forgot how to do it
Answer:
21.98
Step-by-step explanation:
u have 2 multiply 3.14 and 7
ur wlcm
Answer:
21.98
Step-by-step explanation:
might be 21.99 but schould be 21.98
c=pie(d)
C=3.14(7)
21.98=7x3.14
1. Mr. Samuel had 13 notes in his wallet. They consist of $1. $5 and $10 notes. The total amount of the notes adds up to $93. How many $10 notes are there in his wallet?
Answer:
8 $10 notes
Step-by-step explanation:
I started by working it backwards. $93-$3 equals $90. So we have three of our 13 notes. We need ten more. Well the most $10 notes we can have is 8. if we had 8 $10 notes that would give us $80. $90-$80=10. We can take ten and divide it by five so we have 2 $5 notes.
So in total he would have 8 $10 notes, 2 $5 notes, and $3 one dollar notes which adds up to 13 notes
Helpp me rnnnnnnnnnnnnnnnnnnnnnn
Answer:
[tex]y=\frac{3}{2} x-3[/tex]
Step-by-step explanation:
Slope Intercept form;
[tex]y=\frac{3}{2} x-3[/tex]
I need help with this
Answer:
Step-by-step explanation:
Ir is a rectangle because it is a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.
4.
Find the value of h, rounded to the nearest tenth.
6.7
7.5
6.3
6.5
Answer:
6.7.
Step-by-step explanation:
sin 48 = 5/h
h * sin 48 = 5
h = 5 / sin 48
= 6.73
What is (3^2)^4? Pls help will give crown if explanation is fair
Answer:
answer is the frist picture
Step-by-step explanation:
jack and his 3 friends each ate 3pops on Monday if they all at the same amount the rest of the week how many pops could they eat in 3 weeks??
Answer:
216pops.
Step-by-step explanation:
If Jack and his 3 friends(4people total) ate 3 pops on Monday and ate 3pops for the rest of the week, that'd be 12 pops 1 day, and 12x6 is 72 then you have to multiple 72 by 3 and you get 216pops in 3weeks
Hello, The question is in the attachment
Help me, Please.(❁´◡`❁)
Answer:
1/9
Step-by-step explanation:
Your required probabilty answer is 1/9
Does x^2=-4 have one solution
Answer:
The answer has no solutions but if you want it in imaginary numbers the answer would be x=-2i and x=2i
Answer:
No solution
Step-by-step explanation:
If the answer has no solution you can't change it, just write No solution
A function f is odd and f(x)=x^2 for all x>0. Sketch the graph of this function and then write the rule of this function as a single formula.
We will see that we have a piecewise function:
f(x) = x^2 for x > 0.f(x) = -x^2 for x ≤ 0.The graph can be seen at the end.
What is an odd function?
A function is odd when f(-x) = -f(x) for all the values of x in the domain of the function.
In this case, we know that:
f(x) = x^2 for x > 0.
Then, for the negative range, the sign must change (but the quadratic function is even). Then we define the function in the negative range as:
f(x) = -x^2 for x ≤ 0.
This is the odd function (a piecewise function) for the whole domain:
f(x) = x^2 for x > 0.f(x) = -x^2 for x ≤ 0.The graph of the piecewise function can be seen below.
If you want to learn more about piecewise functions, you can read:
https://brainly.com/question/3628123
Answer:
[tex]f(x) =\frac{x^3}{|x|}[/tex]
Step-by-step explanation:
Being an odd function means that [tex]f(-x) = -f(x)[/tex].
Graphically, it means the function will be symmetric across the origin.
So, the graph will have to look like the shown graph.
This graph looks quite similar to the graph [tex]f(x) = x^3[/tex], so we can use that as our parent function.
To get the graph to equal [tex]x^2[/tex] for x>0, we must divide [tex]x^3[/tex] by x.
However, this will simply result in the function [tex]f(x) = x^2[/tex].
If we divide by the absolute value of x however, the graph will look as desired.
I NEED HELPP PLEASE
Answer:
√17
Hope it helps.......
Can I get help with this problem
Answer:
4,7,0,
Step-by-step explanation:
answer 1 is 4 2 nd answer is 7 third answer is 0 and 4 th answer is I don't know