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

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प्रश्न

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

योग
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उत्तर

f(x) = |x| and g(x) = |5x – 2|

∴ (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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