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
viktelen [127]
3 years ago
13

Algebra 2B U2 L6 Function Operations practice 8-10

Mathematics
1 answer:
Bess [88]3 years ago
6 0

Answer:

1) f(g(0)) = 0

2)  g(f(2)) = 2

3)  g(g(0)) = 8

Step-by-step explanation:

Here, the given functions are:

g(x)  =  3 x +2 and f(x)=  (x-2)/3

1. Now, f(g(x))  =   f(3x+2)

Also,  f(3x+2) = (3x+2 -2) /3 = x

So, f(g(x)) = x

⇒ f(g(0)) = 0

2.  g(f(x))  = g((x-2)/3) = 3((x-2)/3) +2

or, g(f(x)) =   x

⇒  g(f(2)) =   3((2)-2/3) +2   = 2  

or, g(f(2)) = 2

3.  g(g(0)= g( 3 (0) +2)  = g(2)

Now, g(2)  = 3(2) +  2 = 6 +  2 = 8

or, g(g(0)) = 8

You might be interested in
If these four countries trade only with each other, what is the difference between the highest balance of trade and the lowest
dsp73

Answer:

€4,378,000,000

Step-by-step explanation: just took the test :)

7 0
3 years ago
Read 2 more answers
(2 1/4) x (-8) <br> FIND THE SUM OF THIS EQUATION
mr Goodwill [35]

Answer:

the answer is 18

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the period of `y = 1+ tan((1)/(2)x)`?
jonny [76]
2π is the period of `y = 1+ tan((1)/(2)x)`
7 0
3 years ago
7 times a number is 3 thousand 5 hundered what is the number
babymother [125]
The number is 500. 500×7=3,500.
6 0
3 years ago
Read 2 more answers
What is an equation of a circle with center (2, -1) that passes through the point (3, 4)?
Svet_ta [14]

Answer:

<em>(x - 2)^2 + (y + 1)^2 =  26</em>

Step-by-step explanation:

A circle with center O(2, -1) that passes through the point A(3, 4).

=> The radius of this circle is OA which could be calculated by:

OA = sqrt[(3 - 2)^2 + (4 - (-1))^2] = sqrt[1^2 + 5^2] = sqrt[26]

The equation of a circle with center O(a, b) and radius r could be written as:

(x - a)^2 + (y - b)^2 = r^2

=> The equation of circle O above with center O(2, -1) and radius = sqrt(26) is shown as:

    (x - 2)^2 + (y - (-1))^2 = (sqrt(26))^2

<=>(x - 2)^2 + (y + 1)^2 = 26

Hope this helps!

4 0
3 years ago
Read 2 more answers
Other questions:
  • Solve this problem 6(3m+-5n+7)=
    9·2 answers
  • PLEASE HELP WILL GIVE BRAINLEIST ANSWER AND STARS AND THANK BOTH ON YOUR PROFILE AND ANSWER!!!!!!!!!!!!!!!!
    13·2 answers
  • Shelly hopped onto her bicycle and pedaled to the park at 14 miles per hour. Then she whizzed back at 20 miles per hour. If the
    12·1 answer
  • He has memorized 20 of the words, which is four-fifths of the list. How many words are on the list?
    9·1 answer
  • Please help asap 25 pts
    13·1 answer
  • Could someone help me please
    10·2 answers
  • I need help with my math, please help
    8·2 answers
  • Im building my first gaming pc. Got any tips or recommendations
    15·2 answers
  • Please help :)<br><br>Identify the two tables which represent quadratic relationships.
    6·1 answer
  • fill in empty circle with +, -, = to create equatioins that are true from top to bottom and left to right
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!