1) Let f(x) = 1 + 2x³ - x and g(x) = 2x + b, for xeR, where b is a constant. a) Find (gof)(x). b) Given that the point (-1, -3) exists on the curve (gof)(x) determine the value of b.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 23E
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1) Let f(x) = 1 + 2x³- - x and g(x) = 2x + b, for xeR, where b is a constant.
a) Find (gof)(x).
b) Given that the point (-1,-3) exists on the curve (gof)(x)
determine the value of b.
Transcribed Image Text:1) Let f(x) = 1 + 2x³- - x and g(x) = 2x + b, for xeR, where b is a constant. a) Find (gof)(x). b) Given that the point (-1,-3) exists on the curve (gof)(x) determine the value of b.
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