The graphs of the functions f and g are shown below.yy87g(x)6f(x)254NA AZ3121-1123123-1-3-2-1(b) For p(x) = g(g(x)), determine p'(4)=Use the graphs above to determine the following quantities. If a quantity is undefined, enter "DNE".(a) For h(x) = g(f(x)), determine h'(0)=4(c) For w(x) = f(g(x)), determine w' (1.5)5=-345X

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Answered: The graphs of the functions f and g are…

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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The function below has the form f(x) = bº + k. 10 9- 7- 4 2 -5 -4 -3 -2 -1 2 3 -2 -3 -4+ Which of the following functions is shown on the graph? 1 O f(x) : 1 3 O f(x) 3* + 2 O f(x) 3 1 O f(x) 3* + 1 o f(x) = 3 + 1 O f(x) = 3° – 1 O f(x) = 3° – 1 (5) 1 O f(x) = + 2 3 ||
Graph both functions on one set of axes. f(x) = (3) * O -4 4 and g(x) = 1.5* -2 -2 y 2 y 6 4 2 f 2 2 4 X X 4 -2 -2 y 6 4 2 y 6 4 2 2 2 g 4 4 X X
Use the graphs of f and g to evaluate the functions. (a) (f- g)(2) (b) (fg)(1) y 4 3. 2. 1 |y=f(x) 234 X i 4 3 2 1 y I 1 y = g(x) + 2 3 4 X
A(x) is a quoadratic function. B(x) is a quadratic function. What type of polynomial function is A(x) ·B(x)? 1. 2. A(x) is a linear function. B(x) is a linear function. What type of polynomial function is A(x) · B(x)?
The length of a rectangle is 4 feet more than 3 times the width. (A = { x w and P = 2l + 2w) (a) Express the area A as a function of the width w. O A = {w square units (2 O A(t) 48 square units 3 3 O A(w) = 3w2 - 4w square units A(w) 4w² + 3w square units O A(w) = 3w2 + 4w square units (b) Express the perimeter P as a function of the length {. O P() =D 을(? - 1) units O P(w) = 8w + 8 units O P(t) = 8l + 8 units O P(t) = -3 8 units O P(t) = 1 units
How many ways are there to represent a function? Find the domain of the following function x²+3x+1 i. f(x) = ii. g(x) = *-1 V2x-1 x2-1

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The graphs of the functions f and g are shown below. y 8 7 g(x) 6 f(x) 5 4 V ZA Z 3 2 1 -3 -2 -1 4 5 1 2 y 3 2 5 x