Consider the two functions f(x) = x^2 + 3x and g(x) = {x^2 − 2, x ≤ 0}, {x + 2, x > 0} (a) Evaluate (i) (f + g)(−2) (ii) (fg)(1) (iii) (f /g)(2)
Consider the two functions f(x) = x^2 + 3x and g(x) = {x^2 − 2, x ≤ 0}, {x + 2, x > 0} (a) Evaluate (i) (f + g)(−2) (ii) (fg)(1) (iii) (f /g)(2)
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Consider the two
f(x) = x^2 + 3x and g(x) = {x^2 − 2, x ≤ 0}, {x + 2, x > 0}
(a) Evaluate
(i) (f + g)(−2)
(ii) (fg)(1)
(iii) (f /g)(2)
(b) Using algebra, find all the points (x and y coordinates) where the graphs of f(x) and g(x) intersect, showing all working
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