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3. Let f(x) = 2x2 – 4x +1 and g(x) = x - 3. Find each function. (a) (f – 9)(x) (b) (fg)(x) (c) (g+ f)(x) (d) (f ÷ g)(x)

3. Let f(x) = 2x2 – 4x +1 and g(x) = x - 3. Find each function. (a) (f – 9)(x) (b) (fg)(x) (c) (g+ f)(x) (d) (f ÷ g)(x)

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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3. Let f(x) = 2x2 – 4x +1 and g(x) = x – 3. Find each function. (a) (f – g)(x) (b) (fg)(x) (c) (g+ f)(x) (d) (f ÷ 9)(x) X - 6 4. Consider the functions g(x) and h(x) = 2x +3. (a) Find the composition (h o g). Simplify completely. (b) State the domain of the composition in interval notation. 5. Consider the functions p(x) = x² + 2x – 3 and q(x) = Vx + 4. (a) Evaluate (qo p)(5). (b) Evaluate (p o q)(5).
Transcribed Image Text:3. Let f(x) = 2x2 – 4x +1 and g(x) = x – 3. Find each function. (a) (f – g)(x) (b) (fg)(x) (c) (g+ f)(x) (d) (f ÷ 9)(x) X - 6 4. Consider the functions g(x) and h(x) = 2x +3. (a) Find the composition (h o g). Simplify completely. (b) State the domain of the composition in interval notation. 5. Consider the functions p(x) = x² + 2x – 3 and q(x) = Vx + 4. (a) Evaluate (qo p)(5). (b) Evaluate (p o q)(5).
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