question_answer

Directions: (11 - 15)

Let \[f\,\,:\,\,A\to B\] and \[g\,\,:\,\,B\to C\] be two functions defined on non-empty sets A, B, C, then gof : \[A\to C\] be is called the composition of f and g defined as, \[gof\left( x \right)=\,g\left\{ f\left( x \right) \right\}\forall x\in A\].

Consider the funciton  \[g\left( x \right)={{e}^{x}}\] and then answer the following questions.

The function \[gof\left( x \right)\] is defined as

A)

B)

C)

D)

Correct Answer: D

Solution :