Let f and g be define f(x) = x-5 and g(x)=x²-1. Express the following functions as the sum, difference, quotient, or product or f and g. (a) P(x)=x²-x-4 (b) Q(x) = x² + 2x -9 x-5 (c) R(x) = (d) S(x) = 2x²-2 x²-x+4 x-5 x³-4x²-11x+30 (e) T(x) = v2_1 Given the following, find f(x). (a) (f+g)(x) = 2x² - 5x + 6, g(x) = x² + 8x - 7 (b) (f.g)(x) = x++ 16x² + 256, g(x) = x² + 4x + 16 (c) (fog)(x) = (3x-2), g(x) = 3x - 2 (d) (gof)(x) — 18r-25 g(x) - 6x-7
Let f and g be define f(x) = x-5 and g(x)=x²-1. Express the following functions as the sum, difference, quotient, or product or f and g. (a) P(x)=x²-x-4 (b) Q(x) = x² + 2x -9 x-5 (c) R(x) = (d) S(x) = 2x²-2 x²-x+4 x-5 x³-4x²-11x+30 (e) T(x) = v2_1 Given the following, find f(x). (a) (f+g)(x) = 2x² - 5x + 6, g(x) = x² + 8x - 7 (b) (f.g)(x) = x++ 16x² + 256, g(x) = x² + 4x + 16 (c) (fog)(x) = (3x-2), g(x) = 3x - 2 (d) (gof)(x) — 18r-25 g(x) - 6x-7
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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Transcribed Image Text:Let f and g be define f(x) = x-5 and g(x)=x²-1. Express the following
functions as the sum, difference, quotient, or product or f and g.
(a) P(x)=x²-x-4
(b) Q(x)=x² + 2x -9
(c) R(x)
=
(d) S(x)=
=
(e) T(x)=
x-5
2x²-2
x²-x+4
x-5
x3-4x²-11x+30
v2_1
Given the following, find f(x).
(a) (f + g)(x) = 2x² = 5x + 6, g(x) = x² + 8x - 7
(b) (f.g)(x) = x4 + 16x² + 256, g(x) = x² + 4x + 16
(c) (fog)(x) = (3x - 2)¹, g(x) = 3x - 2
(d) (gof)(x) = 18x - 25. g(x) = 6x - 7
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