Mark (√) against the correct answer in the following: If f = {(1, 2), (3, 5), (4, 1)} and g = {(2, 3), (5, 1), (1, 3)} then (g o f) = ? A. {(3, 1), (1, 3), (3, 4)} B. {(1, 3), (3, 1), (4, 3)} C. {(3, 4), (4, 3), (1, 3)} D. {(2, 5), (5, 2), (1, 5)}

Home » Mark (√) against the correct answer in the following: If f = {(1, 2), (3, 5), (4, 1)} and g = {(2, 3), (5, 1), (1, 3)} then (g o f) = ? A. {(3, 1), (1, 3), (3, 4)} B. {(1, 3), (3, 1), (4, 3)} C. {(3, 4), (4, 3), (1, 3)} D. {(2, 5), (5, 2), (1, 5)}

Mark (√) against the correct answer in the following: If f = {(1, 2), (3, 5), (4, 1)} and g = {(2, 3), (5, 1), (1, 3)} then (g o f) = ?
A. {(3, 1), (1, 3), (3, 4)}
B. {(1, 3), (3, 1), (4, 3)}
C. {(3, 4), (4, 3), (1, 3)}
D. {(2, 5), (5, 2), (1, 5)}

CBSE | Class 12 | Functions | Maths | RS Aggarwal

Mark (√) against the correct answer in the following: If f = {(1, 2), (3, 5), (4, 1)} and g = {(2, 3), (5, 1), (1, 3)} then (g o f) = ?
A. {(3, 1), (1, 3), (3, 4)}
B. {(1, 3), (3, 1), (4, 3)}
C. {(3, 4), (4, 3), (1, 3)}
D. {(2, 5), (5, 2), (1, 5)}

Solution:

Option(B) is correct.
$\begin{array}{l} \mathrm{f}=\{(1,2),(3,5),(4,1)\} \\ \mathrm{g}=\{(2,3),(5,1),(1,3)\} \end{array}$
According to the combination of $\mathrm{f}$ and $\mathrm{g}$ ,
$\text { gof }=\mathrm{g}(\mathrm{f}(\mathrm{x})$
Therefore, $g(f(x)=\{(1,3),(3,1),(4,3)\}$