Relations and Functions — Class 12 Maths Solution

exemplar sa SA NCERT Exemp.Q.9,Page 11
Question

If the mappings $f$ and $g$ are given by
$f = \{ (1,2),(3,5),(4,1)\}$ and $g = \{ (2,3),(5,1),(1,3)\}$, write $fog$.

Step-by-step Solution

It is given that,, $f = \{ (1,2),(3,5),(4,1)\}$

and $g = \{ (2,3),(5,1),(1,3)\}$

Now, $fog(2) = f\{ g(2)\} = f(3) = 5$

$fog(5) = f\{ g(5)\} = f(1) = 2$

${\mathop{\rm fog}\nolimits} (1) = f\{ g(1)\} = f(3) = 5$

$fog = \{ (2,5),(5,2),(1,5)\}$

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NCERT & Exemplar solution for CBSE Class 12 Mathematics, Relations and Functions. Curated by Sachin Sharma. Free for all students.