Q. 3 A3.8( 56 Votes )

# Find gof and fog,

Answer :

(i) f(x) = |x| and g(x) = |5x -2|

Then, (gof)(x) = g (f(x)) = g(|x|) = |5|x|-2|

(fog)(x) = f(g(x)) = f (|5x -2 |) = ||5x -2 || = |5x -2 |

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