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
Basile [38]
2 years ago
6

Functions & (f o g) (#)

Mathematics
1 answer:
sertanlavr [38]2 years ago
7 0
Hello there!

I'm assuming since there is no question, that you want an explanation for composite functions.

Today, I want to introduce you to a very new way of looking at functions. Think of a function as a machine. I'll call this machine f. When you plug something into this machine, it is an x-value. The machine changes the x-value into a new value which is called a y-value. This is how a function works.

With composite functions though, things get a little bit tricky. To make f(g(x)), you need to plug in x into the g machine, and it will give you an output. (y-value) The next thing you do is take that y-value and plug it into the g machine. The g machine then gives you a new value. This value is f(g(x)).

Let's do an example together...
f(x)=3x and g(x)=x²+4
if we want f(g(x)), first plug in x to the g machine. when plugging in x to the g machine, we get x²+4 as given in the question.
Now we must plug in g(x) into the f machine. Since g(x) is x²+4, we just replace x with x²+4.
We get 3(x²+4)
This means that f(g(x))=3(x²+4)

NOTE: If you are seeking help with an actual question, please message me in the comments and I will assist you shortly!

I hope this helps!
Best wishes :)
You might be interested in
Name the regular polygon that has 12 sides
AnnZ [28]

Answer:

dodecagon

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Complete the steps to add 3 2/5 +1 3/10 . 1. Write mixed numbers as improper fractions. 2. Write equivalent fractions with a com
ira [324]

Answer:

47/10 = 4 7/10

Step-by-step explanation:

3 2/5 + 1 3/10

1. Write mixed numbers as improper fractions:

17/5 + 13/10

2. Write equivalent fractions with a common denominator:

34/10 + 13/10

3. Add the numerators over the common denominator.

47/10

4. Simplify.

4 7/10

3 0
3 years ago
Read 2 more answers
Dr. Black is standing 15 feet from a streetlamp. The lamp is making his shadow 8 feet long. He estimates that the angle of eleva
Stella [2.4K]
Check the picture below.

6 0
2 years ago
WILL GIVE BRAINLIEST!!!!!!!!!!!! 20 points
irina [24]

Answer:

if they are same exact thing but mirrored, then just mirror it the way it needs to.

Example

-1 in the second by -3.4, 3.4 by  1

5 0
2 years ago
A function is defined as {(0, 1), (2, 3), (5, 8), (7, 2)}. Isaac is asked to create one more ordered pair for the function. Whic
svet-max [94.6K]

Answer:

2

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Which equation has the least steep graph?
    10·2 answers
  • ENS RUNNING LOG<br>how many miles must jen run on Friday to reach her goal?​
    10·1 answer
  • Use the decimals 2.47, 9.57, and 7.1 to write two different addition facts and two different subtraction facts
    11·1 answer
  • What does limit as x goes to infinity of the quotient of f of x and g of x equals 5 show? g(x) grows faster than f(x) as x goes
    12·1 answer
  • What inequalities are shown by this graph?​
    5·2 answers
  • Please help I will give brainliest!
    6·2 answers
  • Need help with the answer please and thank you
    8·1 answer
  • Idk why u cheating!!!!!!!!!!
    9·2 answers
  • form a 6 digit number divisible by 1 first 2 divisible by 2, first 3 digits divisible by 3, first 4 digits divisible by 4, first
    6·1 answer
  • PLS HURRY GIVING BRAINLIEST
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!