2. Given that f(x) = 2x− 3 and g(x) = 9 x 2 − 5x+ 11, determine the following: 2. Given that f(x) = 2x-3 and g(x)a. g(x) = f(x) =b.f(x) · g(x) =f(x)C.g(x)d.=go• f(x)[K2][K2][K1][K2]=9x²–5x+11, determine the following:

Answered: Image /qna-images/answer/795046c4-23f1-4f51-9aeb-d430d83a95ce.jpg

Answered: 2. Given that f(x) = 2x-3 and g(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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If f(x) = 3x – 5 and g(x) = x – 9, which expression is equivalent to (f o g)(x)? А 4х — 14 Зх — 32 | B. Зх — 14 D 3x2 — 32xх + 45
Given f (x) = 3x – 9 and g(x) = 5x – 5. Find (f – 9)(x). a) -2х-14 b) 8x – 14 c) 2x + 4 d) -2х- 4
If h(x) = −2x2 − x + 8, find h(−2), h(−6), h(3), and h(5).
Given a function f(x) with the function values ƒ(−6) = −24, ƒ(−2) = −20, ƒ(−1) = 0, and ƒ(4) = 64, which value of x is a factor of the function? A. x = -6 4. 5. The function y = 4(−x + 9)¹(2x − 3)²(x + 6) changes signs at A. x = -9 B. x = 9 C. x = A. B. x = -2 C. x = 3 6. Which list best represents the values of x that make the following equation true: 3x³ + 6x² + 11x + 6 = 0 ? A. +1, +2, +3, +6 B. ±1,±2, ±3,±6,±½‚±z C. +1, +2, +², +², +³ D. 0, 11, 12, 13, +++ 3x-1 7. 6x4 - 2x³ - 21x² + 7x +8 is divided by 3x – 1 to give a quotient of 2x³ 7x and a remainder of 8. Which statement is true? 6x4-2x³-21x² +7x+8 = 2x³ - 7x + C. x = -1 8 3x-1 8. What is the solution to − (x − 3)(x + 8) < 0 ? - A. x € (-∞, -3) U (8,00) 3 2 B. x € (-∞, -8) U (3,00) D. x = 4 2 D. x = -6 C. x € (-∞, -8] U [3,00⁰) B. 6x4 - 2x³ - 21x² + 7x+8 = (3x − 1)(2x³ – 7x) - 8 D. All of these statements are true D. x € (-8,3)
1. Which pair of functions is equivalent? a. fAx) = - 8x - 5x – 3 g(x) = 8x + 5x + 3 c. Ax) = (-6x + 7x) + (8x? - x) g(x) = 2x2 + 6x %D
Given f (x) = 6x² – 5x – 6 and g (x) = 2x + 8 , find (g - f) (-3). O A. -61 О В. 61 O C. -43 O D. 47
For fx) = 2x+ 1 and g(x) = x2 - 7, find (f- g)(x). %3D O A. 2x2 - 15 O B. -x+ 2x- 6 O C. 2 - 2x- 8 O D. -x + 2x+ 8
If g(x) = x4 − x3 + x2 − x, find g(−13)
For f(x) = 3-x and g(x)= 2x + X+ 9, find the following functions. a. (fo g)(x); b. (g o f)(x); c. (fo g)(2); d. (g o f)(2) a. (fog)(x)= (Simplify your answer.)

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2. Given that f(x) = 2x-3 and g(x) = 9x²–5x+11, determine the following: a. g(x) − f(x) = - [K2] b. f(x) • g(x) = [K2] f(x) C. [K1] d. [K2] = g(x) 8 • f(x)