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
brilliants [131]
3 years ago
9

PLEASE HELP!!!!!!!! (ALGEBRA II)

Mathematics
1 answer:
qwelly [4]3 years ago
5 0

Answer:

-4     4     4.5     8     20.5     32

Step-by-step explanation:

f$ \circ  $ g(x) = f(g(x))

Given,   f(x) = 2x²

and       g(x) = x - 2

Now f(g(x)) = f(x - 2) = 2(x - 2)²

We know that (a - b)² = a² - b² + 2ab

Using this we expand f(g(x)). We get:

                        f(g(x)) = 2{x² - 4x + 4}

Similarly,        g(f(x)) = g(2x²) = 2x² - 2

Now, f(g(-2))    = 2[(-2)² - 4(-2) + 4]     = 2(16)                           = 32.

Also, g(f(-2))   = 2[(-2)² - 2]                = 2(2)                             = 4.

f(g(3.5))  = 2{(3.5)² -4(3.5) + 4} = 2[12.25 - 14 + 4] = 2(2.25)    = 4.5.

g(f(3.5))  = 2{(3.5)² -2} = 2{12.25 - 2}                     = 2(10.25)   = 20.5.

f(g(0))     = 2{0 - 4(0) + 4}  = 2(4)                                               =  8.

g(f(0))     = 2{0 - 2}                         = 2(-2)                                 = -4.

Arranging them in ascending order, we get:

-4     4     4.5     8     20.5     32 would be the sequence.

You might be interested in
What is the coefficient of x4 in the expansion of (3x + 1)??
bulgar [2K]
It would be O 945 that is the answer
7 0
3 years ago
Whats 69.2 as a fraction ??
Vladimir79 [104]
69 and 2/10 or 20/100 pls vote me brainliest
5 0
3 years ago
Read 2 more answers
Simplify the following expression:<br> -8 (5b + 2) -7 ( b-5)
RUDIKE [14]

Answer:

-8(5b+2)-7(b-5)

first, use distributive property to get:

-40b-16-7b+35

then, use combine like terms to simplify:

-47b+19

that's your answer!

:)))))))))

3 0
3 years ago
Read 2 more answers
A rectangular table top measures 8/9 of a meter long by 2/3 of a meter wide. what is its area
erma4kov [3.2K]
Area= l×w
       = 8/9 × 2/3
       =16/27
     area = 16/27 m²
hope i hel[ped
6 0
3 years ago
Is this function linear or nonlinear?<br><br> y=2x2−4<br><br> 10 POINTS
mel-nik [20]

Answer:

I think it's nonlinear

6 0
3 years ago
Read 2 more answers
Other questions:
  • Christina is using her computer to design invitations to her birthday party. The text of the invitation is contained in a rectan
    10·2 answers
  • I choose A for my answer.
    5·1 answer
  • Jake and his 4 friends
    9·2 answers
  • I really need help i will rate you branliest
    9·1 answer
  • Edwin hiked to a famous point with a beautiful view. It took 2 hours and 55 minutes to hike to the viewpoint and 25 minutes to h
    6·1 answer
  • Hi<br> Need help ASAP please
    15·1 answer
  • -8.1 =v/7 + 3.1 what is v
    5·1 answer
  • What is the slope of the line that passes through the points (2, -3) and (2,−13) ?Write your answer in simplest form.
    11·1 answer
  • The law of cause and effect is also called the principle of causality.<br><br> True or false???
    12·1 answer
  • Answer asap thank you
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!