Homework Help is Here – Start Your Trial Now!
Math
Calculus
2) Given f(x)=√√x+3, g(x) = a) (fog)(x) f(g(x)) ax f( XHI 啊!!! +3 X+1 2x X+1' and h(x) = 3x, evaluate the following: b) (gof)(x) g(f(x)) 9 (√x+3) 2√x+3 √x +3 +1 c) (hof)(x) h(f(x)) (√x+3) 3√x+3

2) Given f(x)=√√x+3, g(x) = a) (fog)(x) f(g(x)) ax f( XHI 啊!!! +3 X+1 2x X+1' and h(x) = 3x, evaluate the following: b) (gof)(x) g(f(x)) 9 (√x+3) 2√x+3 √x +3 +1 c) (hof)(x) h(f(x)) (√x+3) 3√x+3

Calculus: Early Transcendentals
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...
See similar textbooks
icon
Related questions
Question
I am struggling with problem 2 on the attached worksheet. Could you look at problem 2 and see if they are correct and/or my work is correct? If they are incorrect, what am I doing wrong? Thank you, Ryan
Ryan Phippor 1.7-1.8 Lab Piece-wise Functions (1.7) 1) Graph the following piece-wise defined function. Evaluate for the given values of x. -3x,x<-1) +++ After graphing above, evaluate: a) f(-3) -3(-3)= 2) Given f(x)=√√x+3, g(x) = a) (fog)(x) f(g(x)) ax Function Composition (1.8) f( < ax Xx+1 +3 b) f(-1) f(x)= 2,x=-1 x², x>-1 +++ 2x x+1' b) (gof)(x) g(f(x)) 9 (√x+3) -3x -10-3(-1)=3 -2-3(-2) = 6 2√x+3 √x +3 +1 -3-3(-3)=9 -4-3(-4)=12 and h(x) = 3x, evaluate the following: c) f(0) c) (hof)(x) h(f(x)) ^ (√x+3) 3√x+3 Week 6 a O 002 1 = 1 22² = 4 3/3² = 9
Transcribed Image Text:Ryan Phippor 1.7-1.8 Lab Piece-wise Functions (1.7) 1) Graph the following piece-wise defined function. Evaluate for the given values of x. -3x,x<-1) +++ After graphing above, evaluate: a) f(-3) -3(-3)= 2) Given f(x)=√√x+3, g(x) = a) (fog)(x) f(g(x)) ax Function Composition (1.8) f( < ax Xx+1 +3 b) f(-1) f(x)= 2,x=-1 x², x>-1 +++ 2x x+1' b) (gof)(x) g(f(x)) 9 (√x+3) -3x -10-3(-1)=3 -2-3(-2) = 6 2√x+3 √x +3 +1 -3-3(-3)=9 -4-3(-4)=12 and h(x) = 3x, evaluate the following: c) f(0) c) (hof)(x) h(f(x)) ^ (√x+3) 3√x+3 Week 6 a O 002 1 = 1 22² = 4 3/3² = 9
Expert Solution
Step 1

Solve question 2 as per request

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS