F ( x + 5 )= x ^2 + 12 x + 29
The composition (gof)(x) of the given functions is (g°f)(x) = x² + 12 x + 29
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
For two given functions f(x) and g(x), the composite function
(g ° f)(x) is g(f(x))
we know that:
g(x) = x+5
f(x) = x² + 2x - 6
Then:
(g°f)(x) = g(f(x))
So, we just need to evaluate g(x) in f(x):
g(f(x)) = f(x) + 5 = (x² + 2x - 6) + 5
(g°f)(x) = x² + 12 x + 29
Then the correct answer is (g°f)(x) = x² + 12 x + 29
Learn more about function here:
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Brainliest question if you help
Answer:
C.
Step-by-step explanation:
What is the value of the expression x^3y^2/6 + x^2y^2 x = -2 and y = 3?
A -45
B -30
С 24
D 27
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{(-2^3)(3^2)}{6}+(-2^2)(3^2)}[/tex]
[tex]\mathsf{(-2)^3=\bf -8}[/tex]
[tex]\mathsf{= \dfrac{-8(3^2)}{6}+(-2^2)(3^2)}[/tex]
[tex]\mathsf{3^2=\bf 9}[/tex]
[tex]\mathsf{= \dfrac{(-8)(9)}{6}+(-2^2)(3^2)}[/tex]
[tex]\mathsf{-8(9)= \bf -72}[/tex]
[tex]\mathsf{= \dfrac{-72}{6}+(-2^2)+(3^2)}[/tex]
[tex]\mathsf{\dfrac{-72}{6}=\bf -12}[/tex]
[tex]\mathsf{= -12+(-2)^2(3^2)}[/tex]
[tex]\mathsf{-2^2=\bf 4}[/tex]
[tex]\mathsf{= -12+4(3^2)}[/tex]
[tex]\mathsf{3^2=\bf 9}[/tex]
[tex]\mathsf{= -12+4(9)}[/tex]
[tex]\mathsf{4(9)= \bf 36}[/tex]
[tex]\mathsf{-12 + 36 = \bf 24}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge\bf Option C. 24}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
I need help with this graph! I need to solve this equation to understand where to graph the points, I really need help on this ty :)
(you don't need to actually graph it just tell me where to put the points please!)
Solve for x . Hurry pleaseeeeeeeeeeee
Answer:
X = 4
Step-by-step explanation:
Answer:
x = 4
mark me as branliest
what does y=x match?
Answer:
m = 1
Step-by-step explanation:
slope intercept form --> y=mx+b
y=1x+0
therefore the slope is
m = 1
pls I need help with this math question.
Answer: -4096
Step-by-step explanation:
A transcriptionist types 62 words per minute. Which statement is correct? As the number of words increases, the number of minutes decreases. As the number of words decreases, the number of minutes increases. The number of words, w, is the dependent variable.
Answer:
The number of words, w, is the dependent variable.
Step-by-step explanation:
Some please help I’ll give BrainLiest
Answer:
The author thought the event was exciting and interesting
Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the same rate for the cost of one hot dog, How many more hot dogs would Winston needto sell to earn a total of $175.00 ?
Answer:
Winston would need to sell 14 more hot dogs to earn a total $175
Step-by-step explanation:
A metric unit that is equal to one thousandth of a liter is...
Answer:
mililiter
Step-by-step explanation:
Please help me with this!!!!!!!!!!!!!
Answer: right 2 units
Rosa can send texts on
her phone at the rate
of 32 words per minute.
How long would it take
her to text 150 words?
Answer:
4.7 minutes
Step-by-step explanation:
150/32 is 4.68 which rounds to 4.7
PLS HELP MY LIL BRO!! NO LINKS!!! WILL GIVE 90 POINTS!!
Answer:
i think its 44cm^3
Step-by-step explanation:
A consumer magazine rates televisions by identifying two levels of price, four levels of repair frequency, three levels of features, and three levels of picture quality. How many different ratings are possible?
Answer:
72 different ratings
Step-by-step explanation:
To find how many different ratings there are, multiply all the factors together.
2 * 4 * 3 * 3 = x
8 * 9 = x
x = 72
72 different ratings
Una botella pesa 1090kg cuando esta llena y 250g cuando esta vacía. ¿Cuanta masa de aceite contiene la botella?
Respuesta:
1089,75 kg
Explicación paso a paso:
Dado que :
Masa de embotellado lleno = 1090 kg
Masa de la botella vacía = 250 g
Masa de aceite que contiene la botella:
Expresando la masa de la botella cuando se llena en gramos:
1000 g = 1 kg
1090 kg = (1090 * 1000) = 1090000 g
La masa de aceite que contiene la botella es así:
Masa de la botella cuando está llena - masa de la botella cuando está vacía
1090000 g - 250 g = 1089750 g
Por tanto, la masa de aceite es 1089750 g
O 1089750/1000 = 1089,75 kg
urgent, help pls. :)
Answer:
rational
Step-by-step explanation:
Answer:
Rational
Step-by-step explanation:
Brainlyist for the right answer
Answer:
it is C.
Step-by-step explanation:
just trust me.
Answer:
she is right it's C
Step-by-step explanation:
Have a good Day! :)
Which of the following expressions is
equivalent to the expression below?
3(2x + 4)
А 3х + 4
C 6x + 4
B 6x + 12
Answer:
6x + 12
Step-by-step explanation:
this is because 3 times 2x = 6x and 3 times 4 = 12.
Answer:
6x+12
Step-by-step explanation:
There were 25 children and 15 adults at the beach. Emery said that there were 5 children for every 3 adults. Is he correct. Explain
Answer:
The statement is correct as we will simplify the ratio of adults to children and will come down this.
25 children / 15 adults
both are multiple of 15 and will be divided to come down to 5 / 3
therefore it can be said that there were 5 children for every 3 adults.
[tex]4(3-5x)=15-(8x-25)[/tex]
There are expected to be 7 adults for every 3 children at the opening of a new museum. Find how many children are expected if there are 21 adults, 35 adults, and 56 adults.
Answer:
21 Adults= 7 Children , 35 Adults= 15 children and 56 Adults = 24 Children
Step-by-step explanation:
In other words, every 7 Adults creates a set of 3 Children
In the case of the 21 Adults, 21 /7 = 3sets of Children. Therefore 3x3 =9 Children.
For 35 adults, 35/7 gives us 5 sets
Therefore 5x3= 15 Children
Finally, 56 adults. 56/7= 8 sets
Therefore 8x3= 24 Children
Hope this helps and goodluck. Feel free to post more questions.
Solve the system by using the elimination method.
Answer:
(8, 4 )
Step-by-step explanation:
Given the 2 equations
5x - 5y = 20 → (1)
- 3x + 5y = - 4 → (2)
Add the 2 equations term by term to eliminate the y- term
2x + 0 = 16
2x = 16 ( divide both sides by 2 )
x = 8
Substitute x = 8 into either of the 2 equations and solve for y
Substituting into (2)
- 3(8) + 5y = - 4
- 24 + 5y = - 4 ( add 24 to both sides )
5y = 20 ( divide both sides by 5 )
y = 4
solution is (8, 4 )
GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
Answer:
FHG is 45 degrees
Step-by-step explanation:
For a square, each of the angles at the corners measure 90 degrees
Also, the two diagonals are equal and they bisect one another
Also, the diagonals bisect each of the angles at the corners making each angle lying in each triangle to be 45 degrees, thereby creating 4 isosceles right triangles
For FHG, looking at the triangle FHG, FG and GH are equal lengths as we have an isosceles right triangle
An isosceles right triangle is only possible when the two internal angles asides the right triangle are 45 degrees each
What this mean is that FHG measure is 45 degrees
Solve by factoring
2n^2+12n+18
Answer:
Step-by-step explanation:
d/dn(2 n^2 + 12 n + 18) = 4 (n + 3)
Indefinite integral:
integral(18 + 12 n + 2 n^2) dn = (2 n^3)/3 + 6 n^2 + 18 n + constant
Global minimum:
min{2 n^2 + 12 n + 18} = 0 at n = -3
Someone please help me with equation :)
Answer:
Use the formula pi r^2. You are finding the radius. Plug the numbers in.
Answer:
Should be the second one.
Step-by-step explanation:First you have to think that the entire circle is blue. So the area of the blue circle is: 3.14*11^2 = 379.94.
Then you have to look at the smaller circle. There the radius is: 3. So the area would be: 3.14*3^2 = 28.26
They are asking you to find the shaded area. So you subtract the bigger circles area with the smaller circle.
379.94 - 28.26 = 351.68 to the exact.
Find the 8th term of the arithmetic sequence
-5x + 3, x + 9,7x + 15, ...
Question 1 of 5 What is the fractional equivalent of the repeating decimal 08 ?
An electronics store purchases
laptops for $425.00. They use a
markup rate of 60%. How much do they
sell the laptop to their customers?
A) $680.00
C) $255.00
B) $450.50
D) $595.00
Please help and no links. :)
Answer:
255.00
Step-by-step explanation:
425.00 x .60 = 255
Translate the sentence into an equation.
Two more than the quotient of a number and 9 is equal to 8.
Answer:
it would be (9/n )+ 2 = 8
Step-by-step explanation:
I hope this is right :)))
Another easy points let’s goooo
Answer:
916110
Step-by-step explanation:
39*27*29*30