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

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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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