1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ser-zykov [4K]
3 years ago
10

Let f(x) = x^2 + 2x and g(x) = 2x. Evaluate the composition (fºg)(2).

Mathematics
2 answers:
inysia [295]3 years ago
6 0

Answer:

B. (f o g)(2) = 24

General Formulas and Concepts;

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Composition of functions

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = x² + 2x

g(x) = 2x

<u>Step 2: Find (f o g)(x)</u>

  1. Substitute:                    (f o g)(x) = (2x)² + 2(2x)
  2. Evaluate:                       (f o g)(x) = 4x² + 2(2x)
  3. Multiply:                        (f o g)(x) = 4x² + 4x

<u>Step 3: Find (f o g)(2)</u>

  1. Substitute:                    (f o g)(2) = 4(2)² + 4(2)
  2. Evaluate:                       (f o g)(2) = 4(4) + 4(2)
  3. Multiply:                        (f o g)(2) = 16 + 8
  4. Add:                              (f o g)(2) = 24

And we have our final answer!

statuscvo [17]3 years ago
3 0

Answer:

B

Step-by-step explanation:

We have the two functions:

f(x)=x^2+2x\text{ and } g(x)=2x

And we want to evaluate:

(f\circ g)(2)

This is equivalent to:

=f(g(2))

Hence, we will evaluate g(2) first.

Therefore:

g(2)=2(2)=4

We can now substitute this for f(g(2)). Hence:

f(g(2))=f(4)

Evaluate:

f(4)=(4)^2+2(4)=16+8=24

Therefore:

(f\circ g)(2)=24

Hence, our answer is B.

You might be interested in
Part A: Eveline rented a car at $180 for 4 days. If she rents the same car for 9 days, she has to pay a total rent of $325.
erastova [34]
Y=mx+b

m=(325-180)/(9-4)

m=145/5

m=29

y=29x+b, using point (4,180) we can solve for b

180=29(4)+b

180=116+b

64=b, so the line is:

y=29x+64

Now the standard form of a line is ax+by=c so:

-29x+y=64  (by convention the coefficient of x should be positive so)

29x-y=-64

...

We can use the point-slope form we found earlier...

f(x)=29x+64

...

This is just a line so you can use any two points to graph it.

Connect (1,93) to (2,122) and extend upward and to the right as far as you please.  The x-axis should be labeled "days" and the y-axis as "dollars".
7 0
4 years ago
Can you guys please help me
UkoKoshka [18]
63(73 hope this helps
3 0
3 years ago
To see how costly it would be for other people to complete a similar cycling tour, you decide to work out two averages and compa
NikAS [45]
The answers are 2,450 and 2,380
3 0
4 years ago
A cuboid has 3 different sized faces. The areas of 2 of the faces are 84cm2and 56cm2. The volume of the cuboid is 672cm3. Find t
Elenna [48]

Answer:

Length: 12 cm

Width: 8 cm

Height; 7 cm

Step-by-step explanation:

We are told that the areas of 2 of the faces are 84cm² and 56cm².

Now, the side faces are 4 in total with 2 each having same areas.

Thus, it means they would have the same height.

Let's find the highest common factor between 84cm² and 56cm².

The highest number that can be divide each equally is 7.

Thus;

12 × 7 = 84 cm²

8 × 7 = 56 cm²

This means, the bottom part will measure 12 cm by 8 cm.

Thus, the complete measurement is;

Length: 12 cm

Width: 8 cm

Height; 7 cm

Let's check if it will give us a Volume equal to that given.

Thus;

Volume = 12 × 8 × 7 = 672 cm²

This is same as that given and so our dimensions are correct.

7 0
3 years ago
The line below are parallel. If the green line has a slope of -1/2, what is the slope of the red line?
MAXImum [283]

The line below are parallel so they have same slopes

If the green line has a slope of -1/2, the slope of the red line is also - 1/2

Answer

-1/2

4 0
4 years ago
Read 2 more answers
Other questions:
  • A cereal box has a length of 8 inches, a width of 2.5 inches and a height of 12 inches. The cereal box is made completely of car
    9·1 answer
  • Plz help with numbers 3 and 4 !!
    10·2 answers
  • What is the difference between the solution of a system of linear inequalities and the solution of a system of linear equations?
    7·1 answer
  • Combine like terms: 1/4g+7+1/2g-8
    12·1 answer
  • Need help. Need to know how to work it out
    5·2 answers
  • Karma's brother was born
    13·1 answer
  • Please answer all 4 questions, iĺl give brainliest
    8·2 answers
  • The number of measles cases increased 5.2% to 33 cases this year, what was the number of cases prior to the increase?
    7·2 answers
  • PLS HELP ME I NEED HELP
    10·1 answer
  • A team won 13 games, lost 15 games, and tied 2
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!