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Let f(x) and g(x) be defined by f(x)=4-x; 5+x x<0 g(x) = x²+2 x≥0 (a) Evaluate (f+9)(-2), (f-9)(-1), (fg)(1) and (f/g)(2). (b) Find all x for which f(x) = g(x). You must give the exact answer and show all working.

Let f(x) and g(x) be defined by f(x)=4-x; 5+x x<0 g(x) = x²+2 x≥0 (a) Evaluate (f+9)(-2), (f-9)(-1), (fg)(1) and (f/g)(2). (b) Find all x for which f(x) = g(x). You must give the exact answer and show all working.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let f(x) and g(x) be defined by f(x)=4-x; 5+x x<0 g(x) = x²+2 x≥0 (a) Evaluate (f+9)(-2), (f-9)(-1), (fg)(1) and (f/g)(2). (b) Find all x for which f(x) = g(x). You must give the exact answer and show all working.
Transcribed Image Text:Let f(x) and g(x) be defined by f(x)=4-x; 5+x x<0 g(x) = x²+2 x≥0 (a) Evaluate (f+9)(-2), (f-9)(-1), (fg)(1) and (f/g)(2). (b) Find all x for which f(x) = g(x). You must give the exact answer and show all working.
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