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].

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

Mark the correct A. f(x) = x + 1, g(x) = – x + 1B. f(x) = x – 1, g(x) = x + 1C. f(x) = –x – 1 g(x) = x – 1D. none of these