b) Let the functions f, g and h be defined as follows: f: R→ R ; f(x) = 4x − 3 g: R → R; g(x) = x² + 1 (1 if x ≥ 0 (0 if x < 0 Find the rules for the following functions: i. fog ii. gof iii. foh iv. hof h: R → R;h(x) =
b) Let the functions f, g and h be defined as follows: f: R→ R ; f(x) = 4x − 3 g: R → R; g(x) = x² + 1 (1 if x ≥ 0 (0 if x < 0 Find the rules for the following functions: i. fog ii. gof iii. foh iv. hof h: R → R;h(x) =
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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Discrete mathematics

Transcribed Image Text:b) Let the functions f, g and h be defined as follows:
f:R → R ; f(x) = 4x - 3
g: R → R ; g(x) = x² + 1
(1 if x ≥ 0
if x < 0
h: R → R ; h(x) = { 1
10
Find the rules for the following functions:
i. fog
ii. gof
iii. foh
iv. hof
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