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Calculate g(x)g ( x ) , Where g=f−1g = f ^ { - 1 }

Question 12

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Calculate g(x)g ( x ) , where g=f−1g = f ^ { - 1 } . State the domain and range of gg . Calculate g′(a)g ^ { \prime } ( a ) .
f(x)=1x−3,x>3;a=2f ( x ) = \frac { 1 } { x - 3 } , x > 3 ; a = 2

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