NCERT Class XI Mathematics - Relations and Functions - Solutions
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Question : 31
Total: 36
Let f, g : R → R be defined, respectively by f (x) = x + 1, g (x) = 2x – 3. Find f + g , f - g and
Solution:
Given f (x) = x + 1 and g(x) = 2x – 3
(f + g) (x) = f (x) + g(x) = (x + 1) + (2x – 3) = 3x – 2
(f – g)(x) = f (x) – g(x) = (x + 1) – (2x – 3) = –x + 4
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(f + g) (x) = f (x) + g(x) = (x + 1) + (2x – 3) = 3x – 2
(f – g)(x) = f (x) – g(x) = (x + 1) – (2x – 3) = –x + 4
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