ls f(x) = ±vx, a function or a relation? Give reason/s to support your answer %3D (a). Given that f(x) = (3x + 2) or f(x) = (3x + 2) and g(x) = 2x + 1. %3D %3D (). Evaluate f(-1/3) (ii). Determine g(0) (iii). Find an expression for the composite function: f[g(x)] (iv). Given that the expression for the composite function, g[f(x)], can be written in the form: V(ax + b) + 1 or (ax + b)2 + 1; where, 'a' and 'b' are constants; find the values of 'a' and 'b'. Show all your working fully and clearly.
ls f(x) = ±vx, a function or a relation? Give reason/s to support your answer %3D (a). Given that f(x) = (3x + 2) or f(x) = (3x + 2) and g(x) = 2x + 1. %3D %3D (). Evaluate f(-1/3) (ii). Determine g(0) (iii). Find an expression for the composite function: f[g(x)] (iv). Given that the expression for the composite function, g[f(x)], can be written in the form: V(ax + b) + 1 or (ax + b)2 + 1; where, 'a' and 'b' are constants; find the values of 'a' and 'b'. Show all your working fully and clearly.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![1. Is f(x) = ±Vx, a function or a relation? Give reason/s to support your answer,
2. (a). Given that f(x) = V(3x + 2) or f(x) = (3x + 2) and g(x) = 2x + 1.
%3D
%3D
(). Evaluate f(-1/3)
(ii). Determine g(0)
(iii). Find an expression for the composite function: f[g(x)]
(iv). Given that the expression for the composite function, g[f(x)), can
be written in the form:
V(ax + b) + 1 or (ax + b) 2 + 1; where, "a' and "b' are constants
find the values of 'a' and b'. Show all your working fully and
clearly.
(b). Find f(x).
(Ctrl) -](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7e124b1d-4f68-48fd-829e-d3bce10028ae%2F95bf6390-ef69-4e68-accd-f20efe76ef7c%2F3iyr7m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Is f(x) = ±Vx, a function or a relation? Give reason/s to support your answer,
2. (a). Given that f(x) = V(3x + 2) or f(x) = (3x + 2) and g(x) = 2x + 1.
%3D
%3D
(). Evaluate f(-1/3)
(ii). Determine g(0)
(iii). Find an expression for the composite function: f[g(x)]
(iv). Given that the expression for the composite function, g[f(x)), can
be written in the form:
V(ax + b) + 1 or (ax + b) 2 + 1; where, "a' and "b' are constants
find the values of 'a' and b'. Show all your working fully and
clearly.
(b). Find f(x).
(Ctrl) -
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