you are given a function f(x) and told that the function g(x)=a^f(x), a>0, has a slope equal to 2lna at x=0. which one of the follwing functions could be f(x)?

Answer moral guide 

Horizontal asymptote at  tells us that the original graph has been translated down.since  ,  are positive.  also we can say that the point  has a smaller  -coordinate than  .this means that the  transformed exponential function is increasing as it goes to the right. as it goes from  to , the value of the exponential function increases. it goes from to something bigger, . therefore, as  . the left hand would be the side that approaches the horizontal asymptote.so the answer is d

The answer is


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