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
NNADVOKAT [17]
3 years ago
12

Are the functions commutative or not commutative.

Mathematics
1 answer:
Blizzard [7]3 years ago
7 0

Answer:

  1. commutative
  2. not commutative

Step-by-step explanation:

1. The functions in a composition will be commutative if they are inverses of each other.

  f(g(x)) = 1/4(4x-20) +5 = x -5 +5 = x

  g(f(x)) = 4(1/4x +5) -20 = x +20 -20 = x

The functions f and g are inverses of each other and are commutative. Application of these functions in either order will give the same result--the original function's argument.

__

2. f(g(x)) = 2(x^2 -3) +4 = 2x^2 -2

   g(f(x)) = (2x +4)^2 -3 = 4x^2 +16x +13

f(g(x)) gives a different result than g(f(x)), so the functions are not commutative.

You might be interested in
What is 4x+2=10 For linear equations?
Vladimir79 [104]
X=2 is the answer when trying to figure out what x equals.
To convert to y=Mx+b
4x+2=10
-2. -2
4x=8
4. 4
X=2
4 0
3 years ago
To multiply 10 with 2/5<br> you should_________.
Sati [7]

Answer:

convert 2/5 to a decimal, which is 0.4

multiplying a value by 10 means you should move the decimal point one unit to the right

so 10 x 2/5 = 4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
omposite figure is divided into two congruent trapezoids, each with a height of 4 cm. 2 trapezoids. Both trapezoids have base le
adelina 88 [10]

Answer:Option C:

64 \ cm^2 is the area of the composite figure

It is given that the composite figure is divided into two congruent trapezoids.

The measurements of both the trapezoids are

b_1=10 \ cm

b_2=6 \ cm and

h=4 \ cm

Area of the trapezoid = \frac{1}{2} (b_1+b_2)h

Substituting the values, we get,

A=\frac{1}{2} (10+6)4

A=\frac{1}{2} (16)4

A=32 \ cm^2

Thus, the area of one trapezoid is $32 \ {cm}^{2}$

The area of the composite figure can be determined by adding the area of the two trapezoids.

Thus, we have,

Area of the composite figure = Area of the trapezoid + Area of the trapezoid.

Area of the composite figure = $32 \ {cm}^{2}+32 \ {cm}^{2}$ = 64 \ cm^2

Thus, the area of the composite figure is 64 \ cm^2

Step-by-step explanation:

4 0
3 years ago
A quarter weighs about 0.0 pounds. What is the weight written in Scientific notation?
faltersainse [42]
I believe it’s the answer is A
7 0
3 years ago
What is the answer to this question
r-ruslan [8.4K]
The mass of the yohgurt should be 61.4 repeated or 61.

7 0
4 years ago
Other questions:
  • Lisa is going to a concert. She can take 5 other friends but only has 3 more tickets. How many different ways are there for Lisa
    8·1 answer
  • Help please. i am terrible with fractions.<br><br> 2/3 - (1/4) * (4/9)
    6·2 answers
  • Please help me! &lt;3.
    14·1 answer
  • 198round to the nearest tens and hundreds
    11·1 answer
  • At present, a man is 5 times older than his daughter. In 7 years, the man is 3 times as old as his daughter. What are their pres
    14·1 answer
  • The sum of four consecutive odd numbers is 40 what is the greatest of the four numbers
    7·2 answers
  • Please help I don’t understand please
    10·2 answers
  • Giving brainly to the correct answer!
    7·2 answers
  • Enlarge this shape by scale factor 3 on the grid below
    15·1 answer
  • Guys, I’m giving you at least 100 points for you to answer to my angles, triangles, and quadrilaterals word problem homework pac
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!