7 ×7:6'1 ZX Z be two Tunctions deined as follows: f(a,b) = (2a – b,b²) and g(a, b) = (ab²,b+ a) Find in simplified form expressions for each of the following: (i) fog(a, b); (ii) gof (a, b); (ii) fof(a,b).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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solve the question(b)

(a) State the value of [I-1
(b) Let f, g:Zx Z → Z × Z be two functions defined as follows:
f (a,b) = (2a – b, b²) and g(a, b) = (ab?,b+ a)
Find in simplified form expressions for each of the following:
(i)
fog(a, b);
(ii)
gof (a, b);
(iii)
fof (a,b).
Transcribed Image Text:(a) State the value of [I-1 (b) Let f, g:Zx Z → Z × Z be two functions defined as follows: f (a,b) = (2a – b, b²) and g(a, b) = (ab?,b+ a) Find in simplified form expressions for each of the following: (i) fog(a, b); (ii) gof (a, b); (iii) fof (a,b).
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