10. Use the function k(x) = x + 4x + 3. a) Write explicit equation for three functions f(x), g(x), and h(x) so that k(x) = f(x) + g(x) + h(x). b) Write explicit equation for two functions f(x) and g(x) so that k(x) = f(x) — g(x). c) Write explicit equation for two functions f(x) and g(x) so that k(x) = f(x) · g(x).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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10. Use the function k(x) = x² + 4x + 3.
a) Write explicit equation for three functions f(x), g(x), and h(x) so that k(x) = f(x) + g(x) + h(x).
b) Write explicit equation for two functions f(x) and g(x) so that k(x) = f(x) − g(x).
c) Write explicit equation for two functions f(x) and g(x) so that k(x) = f(x) · g(x).
Transcribed Image Text:2 10. Use the function k(x) = x² + 4x + 3. a) Write explicit equation for three functions f(x), g(x), and h(x) so that k(x) = f(x) + g(x) + h(x). b) Write explicit equation for two functions f(x) and g(x) so that k(x) = f(x) − g(x). c) Write explicit equation for two functions f(x) and g(x) so that k(x) = f(x) · g(x).
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