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Equal composites at selected inputs

Equal composites at selected inputs

4 marks
TGM Original
For all real x, let f(x)=x2 and g(x)=x+2. Solve fg(x)=gf(x). Does the result show that the two composite functions are equal? Explain.

Solution:

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Answer:\(x=-\dfrac12\); the composite functions are different.

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