1.8: Functions and Mathematical Models
Difficulty Level: At Grade
Created by: CK-12
Review Answers
- (1/2)x^{2} +5x+5
- (1/2)x^{2}-3x+5
- 2x^{3}+ (3/2)x^{2}-5x
- . The domain is the set of all real numbers, except x ≠ 0,x ≠ -2.
- f(g(x))=f(x+8)=(x+8)^{3} g(f(x))=g(x^{3})=x^{3}+8 They are never equal.
- The graph of f(g(x)) is the graph of f(x), shifted 8 units to the left.
- 20x-59
- g(x)=3x+1,h(x)=x^{4},t(x)=f(g(x))
- The domain of f+g is . The range is y ≤ 3.25. (g/f) has the domain of all real numbers except x=0. The range is all real numbers.
- f(g(x))= (dx+a)/(bdx+c). The domain of the function is all real numbers except x = (-c)/bd.
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Date Created:
Feb 23, 2012Last Modified:
Dec 29, 2014
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