3. Consider the functions, m(x) = x + 3x and p(x) = 2x + 5, Find m(p(1)) b. Find m(p(x)) a. c. Find p(m(1)) d. Find p(m(x)) 4. Consider the functions b(x) = (x – 1) and c(x) = Vx+ 1, b. Find b(c(x)) a. Find b(c(9)) d. Find c(b(x)) c. Find c(b(9))

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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**3. Consider the functions, \( m(x) = x^2 + 3x \) and \( p(x) = 2x + 5 \):**

a. Find \( m(p(1)) \)  
b. Find \( m(p(x)) \)  
c. Find \( p(m(1)) \)  
d. Find \( p(m(x)) \)  

**4. Consider the functions \( b(x) = (x - 1)^2 \) and \( c(x) = \sqrt{x} + 1 \):**

a. Find \( b(c(9)) \)  
b. Find \( b(c(x)) \)  
c. Find \( c(b(9)) \)  
d. Find \( c(b(x)) \)
Transcribed Image Text:**3. Consider the functions, \( m(x) = x^2 + 3x \) and \( p(x) = 2x + 5 \):** a. Find \( m(p(1)) \) b. Find \( m(p(x)) \) c. Find \( p(m(1)) \) d. Find \( p(m(x)) \) **4. Consider the functions \( b(x) = (x - 1)^2 \) and \( c(x) = \sqrt{x} + 1 \):** a. Find \( b(c(9)) \) b. Find \( b(c(x)) \) c. Find \( c(b(9)) \) d. Find \( c(b(x)) \)
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