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Let f(x) = x and g(x) = x be two functions defined in the domain R+ ∪ {0}. Find (fg)(x) - Mathematics

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Question

Let f(x) = `sqrt(x)` and g(x) = x be two functions defined in the domain R+ ∪ {0}. Find `(f/g)(x)`

Sum

Solution

`(f/g)(x) = (f(x))/(g(x))`

⇒ `(f/g)(x) = sqrt(x)/x`

Multiplying and dividing by `sqrt(x)`

We get

= `sqrt(x)/x xx sqrt(x)/sqrt(x)`

= `x/(xsqrt(x))`

⇒ `(f/g)(x) = 1/sqrt(x)`

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Chapter 2: Relations and Functions - Exercise [Page 30]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 2 Relations and Functions
Exercise | Q 21.(iv) | Page 30

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