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2. Relations and Functions
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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:


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


So,


Substituting the corresponding equation, we get



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13

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

f – g

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

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14

Express the following functions as set of ordered pairs and determine their range.

f : X → R, f (x) = x3 + 1, where X = {–1, 0, 3, 9, 7}

15

Find the values of x for which the functions

f (x) = 3x2 – 1 and g (x) = 3 + x are equal

Questions · 68
2. Relations and Functions
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