x + 1 x2 + 3 (1) For the function f(x) |evaluate and simplify the following: (a) f(–1) (b) f(2a) (c) f(x² + 3) (d) f- 1) (2) State and use the appropriate formulae, find the sum of the odd numbers from 1 to 199, inclusive.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Problem Set: A
x+ 1
(1) For the function f(x) =
,evaluate and simplify the following:
x2 + 3
(a) f(-1)
(b) f(2a)
(c) f(x? + 3) (d) f - 1)
(2) State and use the appropriate formulae, find the sum of the odd numbers from 1 to 199,
inclusive.
(3) For the functions f(x) = 3x – 4 and g(x) = x+ 2, find the following and determine
the domain in each case: (a) g((f))
(b) fg
f
(c)
(4) For the functions f(x) = Vx – 3 and g(x) = Vx + 2, find and determine the domain
in each case: (a) gf
(b) f+ g
3
3
Transcribed Image Text:2 of 9 + Automatic Zoom >> Problem Set: A x+ 1 (1) For the function f(x) = ,evaluate and simplify the following: x2 + 3 (a) f(-1) (b) f(2a) (c) f(x? + 3) (d) f - 1) (2) State and use the appropriate formulae, find the sum of the odd numbers from 1 to 199, inclusive. (3) For the functions f(x) = 3x – 4 and g(x) = x+ 2, find the following and determine the domain in each case: (a) g((f)) (b) fg f (c) (4) For the functions f(x) = Vx – 3 and g(x) = Vx + 2, find and determine the domain in each case: (a) gf (b) f+ g 3 3
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