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Solve Q11, 12, 13 explaining detailly each step

Solve Q11, 12, 13 explaining detailly each step

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Solve Q11, 12, 13 explaining detailly each step

i) The graph of y = f(x) is symmetrical about the y-axis 11.If f(x) = 3e*x ER, f'(x) = x+1 %3D A. Inx – 1, xE R B. Inx – (1+In3).'X€R°C. In – 1,x ER D. In+ 1,x € R 3. 3 12.If f and g are two invertible mapping then (fg) = 1 A. f's-1 B. (gf)' C.g'f' D.- f g 13.If f(x) and g(x) are both even then f(x) + g(x) is A. Even B. odd C. both even and odd D. neither odd nor even 14.The function f is defined by: f: x → ,x E R 1 1+x? A. fis injective C. f = f-1 D. fis neither injective nor surjective B. f is surjective 15.If f(x) and g(x) are both odd then f(x) g(x) is A. Even B. odd C. both even and odd D. neither odd nor even 16.A relation R is defined on a set A, where A = {2,3,4,5,7} by a R b if and only if:a + b E A. the relation is A. Reflexive B. Symmetric C. Transitive D. none of the above for 0 < x < 1, 2 17.It is given that f(x) {1- x², for 1< x< 3 (f(x +3), for all x E R f(-10) = A. - 5 В. —99 С.-3 D. 1 (x2 + 2; 0 < x < 2 18.f(x) = Given that f(x) = f(x + 4), then f(15) = 3x; 2 < x < 4 В. - 9 19-x²for 0 < x < 3 (3x – 9 for 3 <x< 6 В. 24 20.f(x)= 2x - x for 0<x<½ is odd and periodic with period 1. A. 9 С.4 D. 45 19.flx) = is periodic with period 6. f(-11) = | A. -112 C. -6 D. 8 () 3 A. 2 3 B.= -3 -1 4, С. C. 1 D.- 8. 8 x2-1 21.g(x): is continous, at x = -1. the value of a is - x+1 %3D a, x = -1 A. -2 В.- 1 С.О D. 2 f + k, x > 2 TIX ksin ,0 < x < 2 22.h(x)= is continous. The value of k is x2 А. -2 В. —1 C. - 2 D. 0 2x+5 YÉ a is an invertible real-valued function and f6)= 14. The value of a is: 23.f(x) 65 A. C. 5 D. 3 24.The following statements are made about an odd function f В.25 ii) -f(x) = f(-x)
Transcribed Image Text:i) The graph of y = f(x) is symmetrical about the y-axis 11.If f(x) = 3e*x ER, f'(x) = x+1 %3D A. Inx – 1, xE R B. Inx – (1+In3).'X€R°C. In – 1,x ER D. In+ 1,x € R 3. 3 12.If f and g are two invertible mapping then (fg) = 1 A. f's-1 B. (gf)' C.g'f' D.- f g 13.If f(x) and g(x) are both even then f(x) + g(x) is A. Even B. odd C. both even and odd D. neither odd nor even 14.The function f is defined by: f: x → ,x E R 1 1+x? A. fis injective C. f = f-1 D. fis neither injective nor surjective B. f is surjective 15.If f(x) and g(x) are both odd then f(x) g(x) is A. Even B. odd C. both even and odd D. neither odd nor even 16.A relation R is defined on a set A, where A = {2,3,4,5,7} by a R b if and only if:a + b E A. the relation is A. Reflexive B. Symmetric C. Transitive D. none of the above for 0 < x < 1, 2 17.It is given that f(x) {1- x², for 1< x< 3 (f(x +3), for all x E R f(-10) = A. - 5 В. —99 С.-3 D. 1 (x2 + 2; 0 < x < 2 18.f(x) = Given that f(x) = f(x + 4), then f(15) = 3x; 2 < x < 4 В. - 9 19-x²for 0 < x < 3 (3x – 9 for 3 <x< 6 В. 24 20.f(x)= 2x - x for 0<x<½ is odd and periodic with period 1. A. 9 С.4 D. 45 19.flx) = is periodic with period 6. f(-11) = | A. -112 C. -6 D. 8 () 3 A. 2 3 B.= -3 -1 4, С. C. 1 D.- 8. 8 x2-1 21.g(x): is continous, at x = -1. the value of a is - x+1 %3D a, x = -1 A. -2 В.- 1 С.О D. 2 f + k, x > 2 TIX ksin ,0 < x < 2 22.h(x)= is continous. The value of k is x2 А. -2 В. —1 C. - 2 D. 0 2x+5 YÉ a is an invertible real-valued function and f6)= 14. The value of a is: 23.f(x) 65 A. C. 5 D. 3 24.The following statements are made about an odd function f В.25 ii) -f(x) = f(-x)
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