Question

Find gof and fog, if  f(x) = |x| and g(x) = |5x - 2|

Answer 1

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

:. (gof) (x) = g g(f(x)) = g(|x|) = |5|x|-2|

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