For f(x) = 5x – 3 and g(x) = 2x2 - 5, find the following functions.
a. (fog)(x); b. (gof)(x); c. (fog)(2); d. (gof)(2)

Answers

Answer 1

Answer:

See answer below

Step-by-step explanation:

Given the functions f(x) = 5x – 3 and g(x) = 2x2 - 5, find the following functions.

a)(fog)(x) = f(g(x))

f(g(x)) = f(2x^2-5)

f(g(x)) = 5(2x^2-5) - 3

f(g(x)) = 10x²-25-3

f(g(x)) = 10x² - 28

b) g(f(x)) = g(5x-3)

g(f(x)) = 2(5x-3)²-5

g(f(x)) = 2(25x²-30x+9)-5

g(f(x)) = 50x²-60x+18-5

g(f(x)) = 50x²-60x+13

c)(fog)(2) = f(g(2))

f(g(x)) = f(2x^2-5)

f(g(2)) = 10(2)² - 28

f(g(2)) = 10(4)-28

f(g(2)) = 12

d) g(f(x)) = g(5x-3)

g(f(x)) = 2(5x-3)²-5

g(f(x)) = 50x²-60x+13

g(f(2)) = 50(2)²-60(2)+13

g(f(2)) = 200-120+12

g(f(2)) =80+12

g(f(2)) = 92


Related Questions

2
3
x +
1
2
y = 2
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8
x +
5
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y = −
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Answer:

The answer is in the image below

How many triangles are there help please

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35 And just so you know your teacher is a Satanist xd

Answer:

35

Step-by-step explanation:

Make sure to count the right triangles the equilateral triangles as well.

Give the ordered pair of the 3rd Critical point.
Y = 4cos10(x - 12°) +16

Answers

so it would be x12 to the 2nd power, kinda hard to explain but i really hope this helped
12x to the 2nd power hope this helped and a brainliest will hell :)

Find a formula for a geometric sequence that begins with 11, -33, 99

Answers

Answer:

17

Step-by-step explanation:

13. Using figure 1, angles 5 and 6 form a linear pair, If mz6=95", find m25.
a. 5°
b. 85"
c. 90°
d.95"
14. In figure 1, 25 and 28 are vertical angles. If m2s 2x + 45 and m28= 7x - 15
What is the value of x ?
a.6
b. 12
c.9
d. 21



paki answer po plss​

Answers

In the figure, angles 1 and 5 are alternate exterior angles. Use the Alternate Exterior ... each pair of alternate interior angles is congruent. ... 1 and 3. SOLUTION: If the radiation rays form parallel lines, then ∠1 and ... supplementary; since 3 and 5 are a linear pair, ... ∠8, ∠9 and ∠10, ∠11 and ∠12, and ∠13 and ∠14.

A cooler contains 12 bottles of apple juice and 18 bottles of orange juice. You reach into the cooler without looking and pull out one bottle of apple juice. Then you reach into cooler and pull out another bottle of juice. What is the probability of pulling apple juice and then pulling another apple juice?

Answers

Answer:

P = 0.232

Step-by-step explanation:

In the cooler, we have 12 bottles of apple juice and 18 bottles of orange juice.

This adds up to a total of 30 bottles.

Now we want to find the probability of pulling a bottle of apple juice after you pulled one bottle of apple juice.

The probability of pulling a bottle of apple juice at the beginning is equal to the quotient between the number of apple juice bottles in the cooler and the total number of bottles in the cooler,

This means that 12 out of 30 are apple juice, then the probability of getting first a bottle of apple juice is:

p = 12/30

Now, we want to find the probability of getting another, we will do the same calculation than above, but now the number of bottles of apple juice is 11 (because we took one) and the total number of bottles is 29.

In this case, the probability is:

q = 11/29

The joint probability (the probability of both events happening) is equal to the product of the individual probabilities.

Then the probability of pulling apple juice and then pulling another apple juice is:

P = p*q = (12/30)*(11/29) = 0.232

Please help me on this question! And explain how you got your answer please!

Answers

Answer:

she has a total of 140 coins

Step-by-step explanation:

x is coins in total

5/100 times x = 7

0.05 times x = 7

x = 7/0.005

x = 700/5

divide that you get 140

Answer:

Maybe 7.14285714?

Step-by-step explanation:

50% divided by 7?

I'm sorry I just guessed

Is this a Percent Increase or Decrease Problem?
Shaleka had a 10%-off coupon and paid $36 for pair of
jeans.

Answers

Answer:

Percent Decrease

Please mark as brainliest for further answers :)

GIVING BRAINLIEST TO FIRST COMPLETE ANSWER
View the work below from a student last year. What was their mistake? Be detailed in their response.
-3(x + 4) = 2x - 5

-3x + 4 = 2x - 5

4 = 5x - 5

9 = 5x

1.8 = x

Answers

Answer:

x = -1.4

Step-by-step explanation:

-3(x + 4) = 2x - 5

-3x + (-3*4) = 2x - 5

The mistake was in the above equation where -3 should be multiplied with 4.

-3x -12 = 2x -5

5 -12 = 2x+3x

-7 = 5x

x = -7/5 = - 1.4

NEED HELP FAST‼️ WILL MARK B‼️‼️‼️


Triangle ABC has the following coordinates. A(6,-6), B(3,-3) and C(6,-3). What are the
coordinates of triangle A'B'C' if it is dilated with a scale factor of 4 with the origin as the center of
dilation?

Answers

Answer:

4×6=24,4×-6=-24,4×3=12,4×-3=-12,4×

6=24,4×-3=-12

Find x in each triangle.

Answers

Answer:

it is 3.4 cm

Step-by-step explanation:

by phythagorous teorm

3 square +1.6 square=x square

11.56=x square

then x =radical 11.56 =3.4 cm

Please help ! Please help! I put extra points! And I will heart you!

Answers

Answer:

89 degrees

Step-by-step explanation:

Answer:

91 degrees

Step-by-step explanation:

180-89=91 degrees

180 is the line that 89 degrees is on.

First answer gets brainest. 8th grade math root question

Answers

Answer:

9

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

Square Rooting is basically going down to the origins of the number, trying to figure out what times (x) would give you your current number. In order it get 81, you would need  to do 9*9, therefore making the square root 9

solve x + 1 > 3. graph the solution. can someone help me out??

Answers

Answer:

x>2

Step-by-step explanation:

x+1>3

x>3-1

x>2

I hope this helps

find the given polynomial by finding the greatest common monomial factor or the ñegative of the greatest common monomial factor and rewrite the expression. ​

Answers

Answer:

1. The greatest common monomial factor is xy

2. xy(6 + 2y² + 3x²)

Step-by-step explanation:

6xy + 2xy³+ 3x³y

1. Determination of the greatest common monomial (GCM) factor.

6xy + 2xy³+ 3x³y

6xy => 2 × 3 × x × y

2xy³ = 2 × x × y × y × y

3x³y = 3 × x × x × x × y

GCM => xy

2. Rewrite the expression

6xy + 2xy³+ 3x³y

GCM => xy

6xy + 2xy³+ 3x³y = xy(6 + 2y² + 3x²)

a sunglasses store bought $5,000 worth of glasses the store made $9,000 making a profit of $20 per sunglasses there were How many pairs of sunglasses involved?

Answers

Answer:

150 pairs

Step-by-step explanation:

so total money spent Is equal to 5000

profit is equal to 3000

profit on each pair is equal to 20

so 3000 divided by 20

which gives 150

so 150 pairs of sunglasses were involved

pls give me brainliest I need it

Answer:

The sunglasses involved are 200

A quantity with an initial value of 140 decays continuously at a rate of 4% per decade. What is the value of the quantity after 98 years, to the nearest hundredth?
(pls answer)

Answers

9514 1404 393

Answer:

  93.84

Step-by-step explanation:

The exponential function will be of the form ...

  q = a×b^t

where 'a' is the initial quantity and b is the growth factor per time period t.

If we use decades as the time period, then the growth factor is 1 more than the growth rate of -4%. For the initial value 140, the function is ...

  q = 140×(1 -4%)^t

  q = 140×0.96^t

98 years is 9.8 decades, so the quantity q remaining will be ...

  q = 140×0.96^9.8 ≈ 93.84

The quantity remaining will be 93.84 after 98 years.

Answer:

94.6

Step-by-step explanation:

cooking like a chef im a five star michellin

Answers

Answer:

0o0

Step-by-step explanation:

umm... oki buddy

Answer;

oo nice

Step by step Explanation

Cassandra earns $12.98 an hour working at Key Food. How much money will she
earn this month, if she works 36.7 hours? Round the amount of time to the
nearest hundredth. *

Answers

Answer:

12.98x36.7=476.366

15. Which graph shows - 3x + y = 8

first question

Answers

Answer:

Im sorry but i can't read it

Step-by-step explanation:

Hey, I need help!

What is 56/2?

Answers

Answer:

28

Step-by-step explanation:

Answer:

56 divided by 2 would be 28.

Step-by-step explanation:

[tex]\frac{56}{2}[/tex] is the same thing as half of 56, since two 28s added together is 56, which means [tex]\frac{56}{2}[/tex] is equivalent to 28.

17% off a $35 dresser

Answers

Answer:

Sale Price = $29.05 (answer). This means the cost of the item to you is $29.05. You will pay $29.05 for a item with original price of $35 when discounted 17%. In this example, if you buy an item at $35 with 17% discount, you will pay 35 - 5.95 = 29.05 dollars

Discount of $5.95. You would be paying $29.05

13. Find the measure of angle ABC. B 8x 6x 6x A С​

Answers

Answer

Angle A = 54 degree

Angle B = 72 degree

Angle C = 54 degree

Explain

It is a triangle, so the total of angle is 180 degree

Find X

8x + 6x + 6x = 180

20x = 180

x = 180/20

x = 9°

Value of x is 9°

Substitute a score of x for every angle =

Angle A

= 6x

= 6(9)

= 54°

Angle B

= 8x

= 8(9)

= 72°

Angle C

= 6x

= 6(9)

= 54°

#LearnWithBrainly

A mason gets $684 for 9 days
of work how many days
should he work to get $912​

Answers

Answer:

12days

Step-by-step explanation:

A mason gets 76 dollars per day. To get 912 dollars, divide 912 by 76. 12days.

Answer:

12 days

Step-by-step explanation:

912/76 = 12

A rectangle has a perimeter of 66 inches. The length is 5 inches longer than the width. What is the length of the rectangle?
A.19 in
B.14 in
C.30.5 in
D.28 in

Answers

Answer:

I think that it is A. 19

Step-by-step explanation:

I think it is A. because 19x2=38. 19-5=14, 14x2=28. 28+38=66.

P=66

L=19

W=14

Sorry if I'm wrong.

18 is 32% of what number w

Answers

Answer:

56.25

Step-by-step explanation:

100% of 56.25 is 56.25, therefore 32% of 52.25 equals 18

213=22: Z=14 Select True or False for each equation as is state
O True
O False
5x=25

Answers

Truest sense that the world of war in my opinion was gon in my own name in

The area of a square is 1800 in2, how long is each diagonal?

Answers

9514 1404 393

Answer:

  60 in

Step-by-step explanation:

The area of a square can be computed as ...

  A = (1/2)d^2 . . . . where d is the length of the diagonal

For an area of 1800 in^2, the diagonal length can be found as ...

  1800 in^2 = 1/2d^2

  3600 in^2 = d^2

  d = √3600 in = 60 in

The length of each diagonal is 60 inches.

You have 15 bottles of coke , you drink 2 bottles a day after a certain amount of days there are 3 bottles left. Which of the following represents the day when you had 3 borrows left

Answers

Answer:

15 - 2x = 3

Step-by-step explanation:

Let x be the amount of days that have passed.

15 - 2x gives the amount at any day number x.

15 - 2x = 3 represents the day when you had 3 bottles left.

The 6th day because 14 bottles is 7 days with 1 left over. So get rid of a day and it will be 6 days

The answer is the 6th day

When you solve x^2 - 8x + 7 = 0 what is the last step of the equation
before you simplify to get the two answers? *
O x = -4 13
O x = 3 + 4
O x = 4 + 3

Answers

Answer:

x = 1 and x = 7

Step-by-step explanation:

The given equation is [tex]x^2 - 8x + 7 = 0[/tex].

We need to solve the equation.

It is a quadratic equation whose solution is given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Here, a = 1, b = -8 and c = 7

Put values,

[tex]x=\dfrac{-(-8)\pm \sqrt{(-8)^2-4(1)(7)} }{2(1)}\\\\=\dfrac{8\pm \sqrt{64-28}}{2}\\\\=\dfrac{8\pm 6}{2}\\\\=\dfrac{8+6}{2},\dfrac{8-6}{2}\\\\=7,1[/tex]

So, the values of x are x = 1 and x = 7.

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