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Let f: RR rarr RR and g: RR rarr RR be t...

Let `f: RR rarr RR and g: RR rarr RR` be two mapping defined by `f(x)=x^(2)+3x+1 and g(x)=2x-3`. Find formulas which define the composite mappings
(i) (f o f), (ii)(g o g), (iii) (g o f) , (iv) ( f o g)

Text Solution

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The correct Answer is:
(i) `x^(4)+6x^(3)+14x^(2)+15x+5` , (ii) `4x-9` ,(iii) `2x^(2)+6x-1` , (iv) ` 4x^(2)-6x+1`
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