Chapter3: Functions
Section3.4: Composition Of Functions
Problem 4SE: How do you find the domain for the composition of two functions, fg ?
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#3
Transcribed Image Text:Precalculus 1.5
Name_
HW4
Find (a) (f + g)(x), (b) (f – g)(x), (c) (f · g)(x), (d) ( (x). What is the domain of (d)?
1) f(x) 3 Зх - 6, g(x) 3D 3 — х
2) f(x) = g(x) = x³ +1
Evaluate the indicated function for f(x)
x² – 2 and g(x) = x – 1 algebraically.
3) (f – g)(2)
(t
- 2)
4)
Find (a) (f • g)(x) and (b) (g º f)(x)
5) f(x) = x* –- 4, g(x) = Vx +4
6) f(x) = x² + 9, g(x) = Vx
Use the graphs of f and g to evaluate the functions:
7) (a) (f – g)(1)
8) (a) (f o
g)(1)
(b) (f · g)(4)
(b) (g º f)(3)
g(x)
f(x)
1
3
y = f(x)
y = g(x)
Expert Solution
Step 1
For (3):
We are given that
Here, we need to evaluate algebraically.
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