Send the link below via email or IMCopy
Present to your audienceStart remote presentation
- Invited audience members will follow you as you navigate and present
- People invited to a presentation do not need a Prezi account
- This link expires 10 minutes after you close the presentation
- A maximum of 30 users can follow your presentation
- Learn more about this feature in our knowledge base article
Do you really want to delete this prezi?
Neither you, nor the coeditors you shared it with will be able to recover it again.
Make your likes visible on Facebook?
You can change this under Settings & Account at any time.
Combination of Functions
Transcript of Combination of Functions
Functions By: Tyler, Brittany
and Kaitlyn Composite Functions Given f (x) = 3x – 4 and g(x) = x2 + 6, find:
a. (f o g)(x) b. (g o f)(x)
We begin the composition of f with g. Since (f o g)(x) = f (g(x)), replace each occurrence of x in the equation for f by g(x). Mr. P: You know you want to give us a 100% on this
project because we did such an awesome
amazing job on it!
Brittany, Tyler, Kaitlyn The difference quotient for the function is: Read that book...
No never mind, it might kill me. Make sure to study for up-coming test!
Ehhh, maybe later! Sum of Functions Quotient of Functions Product of Functions Difference of Functions Example:
Find (F+G)(2) ?
Then you would substitute, or "plug in" 2 for every X in the function:
so say that f(x)=3x^2+2x,
f(2) would be 3(2)^2 + 2(2).
same in the sum of functions.
f(x)=3x^2+2x, and g(x)=4x^2+5x, then
(f+g)(2) would equal [3(2)^2+2(2)] + [4(2)^2+5(2)], and then you would evaluate. Difference of Functions Video . Example:
f(x) = 7x - 5
g(x) = x^3 + 4x
find (f * g)(x)
(f o g)(x) = f(x) * g(x)
(7x-5) * (x^3 + 4x)
(7x-5) * x^3 + (7x-5) * 4x
Answer = 7x^4 - 5x^3 + 28x^2 - 20x f (x) = 3x – 4 This is the given equation for f.
(f o g)(x) = f (g(x)) = 3g(x) – 4
= 3(x2 + 6) – 4 Replace g(x) with x2 + 6.
= 3x2 + 18 – 4 Use the distributive property.
= 3x2 + 14 Simplify
Thus, (f o g)(x) = 3x2 + 14 Example 1:
f(x) = 3x
g(x) = 5x+2
What is f(8) ÷ g(2) ?
Step 1: evaluate the individual functions
f(8) = 3 × 8 = 24
g(2) = 5 ×2 +2 = 12
Step 2: Divide the values that your functions produced
f(8) ÷ g(2) = 24 ÷ 12
Answer is= 2 Example 2:
j(x) = 5x
Step 1: Evaluate j(7) ÷ p(4)
Step 2: (7) = 35 p(4) =5
j(7) ÷ p(4) 35 ÷ 5
Answer is= 7