1.8: Functions and Mathematical Models Created by: CK-12 CK-12 Math Analysis Analyzing Functions Edit Review Was this helpful? Submit Review Skip Review Cancel Read Resources Details 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. Image Attributions Description No description available here... Tags: asymptote average rate of change CK.MAT.ENG.SE.1.Math-Analysis.1 (17 more) composition of functions compression domain end behavior extrema Function horizontal compression horizontal stretch limit maximize minimize range relation stretch vertical compression vertical line test vertical stretch Categories: mathematics Concept Nodes: MAT (Mathematics) Grades: 11 , 12 Date Created: Feb 23, 2012 Last Modified: Aug 06, 2014 Files can only be attached to the latest version of None