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x+1 (1) For the function f(x) = ,evaluate and simplify the following: x2 + 3 (a) f(-1) (b) f(2a) () 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. (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) f (c) (b) fg

x+1 (1) For the function f(x) = ,evaluate and simplify the following: x2 + 3 (a) f(-1) (b) f(2a) () 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. (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) f (c) (b) fg

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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Problem Set: A x +1 (1) For the function f(x) = evaluate and simplify the following: x2 + 3' (а) f(-1) (b) f(2a) (c) f(x² + 3) (d) fE-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 f (c) g the domain in each case: (a) g((f) (b) fg (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
Transcribed Image Text:Problem Set: A x +1 (1) For the function f(x) = evaluate and simplify the following: x2 + 3' (а) f(-1) (b) f(2a) (c) f(x² + 3) (d) fE-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 f (c) g the domain in each case: (a) g((f) (b) fg (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
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