Let f, g : R → R be defined, respectively by f(x) = x + 1, g(x) = 2x – 3. Find f + g, f - g and 
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Given: f(x) = x + 1, g(x) = 2x – 3.
(f+g)x = f(x) + g(x)
= x+1+2x-3
⇒ (f+g)x = 3x-2
(f-g)x = f(x) - g(x)
= x+1-2x+3
⇒ (f+g)x = 4-x
8
Let f, g : R → R be defined, respectively by f(x) = x + 1, g(x) = 2x – 3. Find f + g, f - g and .
Given: f(x) = x + 1, g(x) = 2x – 3.
(f+g)x = f(x) + g(x)
= x+1+2x-3
⇒ (f+g)x = 3x-2
(f-g)x = f(x) - g(x)
= x+1-2x+3
⇒ (f+g)x = 4-x