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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 |

Answers (1)
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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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