Q

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

Q.3 Find $gof$ and $fog$, if

(i) $f (x) = | x |$  and  $g(x) = \left | 5x-2 \right |$

Views

$f (x) = | x |$ and $g(x) = \left | 5x-2 \right |$

$gof$ $= g(f(x))$

$= g( | x |)$

$= |5 | x |-2|$

$fog$ $= f(g(x))$

$=f( \left | 5x-2 \right |)$

$=\left \| 5x-2 \right \|$

$=\left | 5x-2 \right |$

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