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 subtracting functions f(x) from 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 = 2x-x2


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