(4) For the functions f(x) = Vx- 3 and g(x) = Vx+2, find and determine the domain %3D in each case: (a) gf (b) f+g

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(4) For the functions f(x) = Vx-3 and g(x) = Vx+ 2, find and determine the domain
%3D
in each case: (a) gf
(b) f+g
3.
and g(x) =-+ 4, find f(g(x)) and g(f(x)), hence or
3.
(5) For the functions f(x)
X-4
otherwise determine whether g(x) is the inverse of f(x).
(6)
(a) Using the remainder theorem, determine whether (x- 4) and (x- 1) are factors
of the expression x3 + 3 x2 - 22 x - 24.
(b) Hence, by use of long divison, find all remaining factors of the expression.
Transcribed Image Text:(4) For the functions f(x) = Vx-3 and g(x) = Vx+ 2, find and determine the domain %3D in each case: (a) gf (b) f+g 3. and g(x) =-+ 4, find f(g(x)) and g(f(x)), hence or 3. (5) For the functions f(x) X-4 otherwise determine whether g(x) is the inverse of f(x). (6) (a) Using the remainder theorem, determine whether (x- 4) and (x- 1) are factors of the expression x3 + 3 x2 - 22 x - 24. (b) Hence, by use of long divison, find all remaining factors of the expression.
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