Let f(x)= 2x+ln(x).and let g be the inverse function of f.Find the value of g ' (2) (a)1 (b)1/2 (c)1/3 (d)1/ln(2) (e)1/2ln(2) (f)none
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Originally Posted by gracy Let f(x)= 2x+ln(x).and let g be the inverse function of f.Find the value of g ' (2) (a)1 (b)1/2 (c)1/3 (d)1/ln(2) (e)1/2ln(2) (f)none The point at which f(x)=2, is x=1. We have: g(f(x))=x, so: g(2x+ln(x))=x hence: (2+1/x)g'(2x+ln(x))=1. So put x=1, then g'(2)=1/3. RonL
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