1. Let f: RR and f(x) = x³ + 200 Determine fog and gof functions. and g: R R g(x)=x+2 2. Let f: R → R f(x) = x³ + 200 9: R R g(x) = [x] +2 Determine if each of f and g is invertibel, and if they do, find the inverse. 3. Mark each statement true or false. Explain why. • For all real numbers x, [-x]=-[x]. For all real numbers x, [-x]=-[x].

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...
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1. Let f: R → R
and
2. Let f: RR
R
g: R
g(x) = x + 2
f(x) = x³ + 200
Determine fog and gof functions.
and
g: R
R
f(x) = x³ + 200
g(x) = [x] +2
Determine if each of f and g is invertibel, and if they do, find the inverse.
3. Mark each statement true or false. Explain why.
• For all real numbers x, [-x]=-[x].
• For all real numbers x, [-x]=-[x].
Transcribed Image Text:1. Let f: R → R and 2. Let f: RR R g: R g(x) = x + 2 f(x) = x³ + 200 Determine fog and gof functions. and g: R R f(x) = x³ + 200 g(x) = [x] +2 Determine if each of f and g is invertibel, and if they do, find the inverse. 3. Mark each statement true or false. Explain why. • For all real numbers x, [-x]=-[x]. • For all real numbers x, [-x]=-[x].
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