Q13 of 68 Page 27

If f and g are two real valued functions defined as f (x) = 2x + 1, g (x) = x2 + 1, then find.

f + g

Given: f and g be real valued functions defined as f (x) = 2x + 1, g (x) = x2 + 1,


To find: f + g


Explanation: this can be obtained by adding functions f(x) and g(x), i.e.,


So, f + g = (f + g)(x)


⇒ f + g = f(x) + g(x)


Substituting the corresponding equation, we get


⇒ f + g = 2x + 1 + x2 + 1


⇒ f + g = x2 + 2x + 2


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