Let f(x) = Ax + B and g(x) = Cx + D where A, B, C, and D are non-zero constants. Use upper case letters for A, B, C, D and lower case letter for x in your answers below. (a) Find f(g(x)). f(g(x)) = ACx+ AD + B (b) Find the slope of the function you found in part (a). slope = AC (c) Find the vertical intercept of the function you found in part (a). Do not write your answer as a point. vertical intercept = 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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Let f(x)
= Ax + B and g(x) = Cx + D where A, B, C, and D are non-zero constants. Use upper case letters for A, B, C, D and lower case letter for x in your answers below.
(a) Find f(g(x)).
f(g(x)) = ACx+ AD + B
(b) Find the slope of the function you found in part (a).
AC
slope:
=
(c) Find the vertical intercept of the function you found in part (a). Do not write your answer as a point.
vertical intercept:
=
Transcribed Image Text:Let f(x) = Ax + B and g(x) = Cx + D where A, B, C, and D are non-zero constants. Use upper case letters for A, B, C, D and lower case letter for x in your answers below. (a) Find f(g(x)). f(g(x)) = ACx+ AD + B (b) Find the slope of the function you found in part (a). AC slope: = (c) Find the vertical intercept of the function you found in part (a). Do not write your answer as a point. vertical intercept: =
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