Q. 415.0( 2 Votes )

Mark the correct A. f(x) = x + 1, g(x) = – x + 1

B. f(x) = x – 1, g(x) = x + 1

C. f(x) = –x – 1 g(x) = x – 1

D. none of these

Answer :

a. f(x) = x + 1, g(x) = – x + 1


f(-1) = -1 + 1= 0


f( 1) = 1 + 1 = 2


Also, g(-1) = 1 + 1 = 2


g(1) = -1 + 1= 0


These functions map [–1, 1] onto [0, 2].


b. f(x) = x – 1, g(x) = x + 1


f(-1) = -1 - 1= -2


f( 1) = 1-1 = 0


Also, g(-1) = -1 + 1 = 0


g(1) = 1 + 1= 2


These functions do not map [–1, 1] onto [0, 2].


c. f(x) = –x – 1 g(x) = x – 1


f(-1) = 1 - 1= 0


f( 1) = -1 - 1 = -2


Also, g(-1) = -1 - 1 = -2


g(1) = 1 - 1= 0


These functions do not map [–1, 1] onto [0, 2].

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