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1 5 2 Given that f: x → 2x+5, g: x → x² and h : x → , where x ER and x 0 or - x find the following composite functions. a fg b gh fh hf ff hh g gfh h hgf с d e f

1 5 2 Given that f: x → 2x+5, g: x → x² and h : x → , where x ER and x 0 or - x find the following composite functions. a fg b gh fh hf ff hh g gfh h hgf с d e f

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 51E
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Please help me answer 1C, 2B, 2D, 2H

11:55 AM Wed Nov 16 2/3 > 174% EXERCISE 2C 1 Given that f: x → 5 − x and g : x → of the following. a ff(7) b ff(-19) C gg(1) d gg e 85 (+) 2 f g h gg gg (1) IX fffff (6) fgfg (2) fg gf (2) csusa-fl.schoology.com 4 - X where x ER and x ‡ 0 or 5, find the values Tip To form a composite function, the domain of f must be chosen so that the whole of the range of f is included in the domain of g. abl 1 76% a
Transcribed Image Text:11:55 AM Wed Nov 16 2/3 > 174% EXERCISE 2C 1 Given that f: x → 5 − x and g : x → of the following. a ff(7) b ff(-19) C gg(1) d gg e 85 (+) 2 f g h gg gg (1) IX fffff (6) fgfg (2) fg gf (2) csusa-fl.schoology.com 4 - X where x ER and x ‡ 0 or 5, find the values Tip To form a composite function, the domain of f must be chosen so that the whole of the range of f is included in the domain of g. abl 1 76% a
11:55 AM Wed Nov 16 2/3 > 174% a fg b C 2 Given that f : x → 2x + 5, g: x → x² and h : x ↔ —, where x ER and x = 0 or find the following composite functions. X gh fh hf ff hh g gfh h hgf e f C 3 Given that f: x → sin xº, g : x ⇒ x³ and h : x → x − 3, where x € R, find the following functions. a hf b fh dfg fhg e f gf a b |+| IM hhh a csusa-fl.schoology.com ab N/07 4 Given that f: x ↔ x +4, g : x ⇒ 3x and h : x → x², where x € R, express each of the following in terms of f, g, h as appropriate. x → x² +4 x + 3x + 4 C x →x4 d x → 9x² e x → 3x + 12 f_ x → 3 (x²+8) Ar + 16 2 * 76% a
Transcribed Image Text:11:55 AM Wed Nov 16 2/3 > 174% a fg b C 2 Given that f : x → 2x + 5, g: x → x² and h : x ↔ —, where x ER and x = 0 or find the following composite functions. X gh fh hf ff hh g gfh h hgf e f C 3 Given that f: x → sin xº, g : x ⇒ x³ and h : x → x − 3, where x € R, find the following functions. a hf b fh dfg fhg e f gf a b |+| IM hhh a csusa-fl.schoology.com ab N/07 4 Given that f: x ↔ x +4, g : x ⇒ 3x and h : x → x², where x € R, express each of the following in terms of f, g, h as appropriate. x → x² +4 x + 3x + 4 C x →x4 d x → 9x² e x → 3x + 12 f_ x → 3 (x²+8) Ar + 16 2 * 76% a
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