If f: R→ Rand g: R→ R defined by f(x) = 2x+1 and g(x) = 3x+1. (i) Find the functional values to the algebraic operations , (fg)(x), fog(x), and gof(x) by explaining the way of performing operations. Show all steps of calculations. (ii) Are fg, fog, and gof equal? Please explain your answer. (iii) Find the domain and ranges of each of the 4 operations. Explain the procedure of finding the domain and range for each of above 4 operations.
If f: R→ Rand g: R→ R defined by f(x) = 2x+1 and g(x) = 3x+1. (i) Find the functional values to the algebraic operations , (fg)(x), fog(x), and gof(x) by explaining the way of performing operations. Show all steps of calculations. (ii) Are fg, fog, and gof equal? Please explain your answer. (iii) Find the domain and ranges of each of the 4 operations. Explain the procedure of finding the domain and range for each of above 4 operations.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 7E
Question
If f: R→ Rand g: R→ R defined by f(x) = 2x+1 and g(x) = 3x+1.
(i) Find the functional values to the algebraic operations , (fg)(x), fog(x), and gof(x) by explaining the way of performing operations. Show all steps of calculations.
(ii) Are fg, fog, and gof equal? Please explain your answer.
(iii) Find the domain and ranges of each of the 4 operations. Explain the procedure of finding the domain and range for each of above 4 operations.
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