1) Given the functions: f(x) = x² + 1 1 g(x) = x² +1 a. Evaluate f o g(0) b. Evaluate g •f (0) c. Find a formula for f • g(x) d. Find a formula for g of (x)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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In-Class Problems 9/15/2021
1) Given the functions:
1
g(x) =
f(x) = x² + 1
x² +1
Evaluate f • g(0)
b. Evaluate gof(0)
Find a formula for f • g(x)
d. Find a formula for g o f(x)
а.
C.
2) The graph of f(x)=x^2 is given first. Match each formula with a curve on the second graph
-21
+
1
(-x)² + 1
A
B.
2
-x? +1
3
(-x)² – 1
4 -x2 – 1
-4
4
5
-2
D
Transcribed Image Text:In-Class Problems 9/15/2021 1) Given the functions: 1 g(x) = f(x) = x² + 1 x² +1 Evaluate f • g(0) b. Evaluate gof(0) Find a formula for f • g(x) d. Find a formula for g o f(x) а. C. 2) The graph of f(x)=x^2 is given first. Match each formula with a curve on the second graph -21 + 1 (-x)² + 1 A B. 2 -x? +1 3 (-x)² – 1 4 -x2 – 1 -4 4 5 -2 D
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