For practice, please answer part c, and d. and please explain why in part b the correct answer is "0" not "infinity"?

The function f. ' R > R is defined by f(a:) :r:em a) The stationary point of f occurs at :1: _ and this' Is a 4m. )mmom ) c> = n E Enter your answer using interval notation. Use the word' 'infinity" for 00 and e for the base of the natural logarithm. d) Define a function g : [1, 00) > (0,e_1] by the rule 9(5'3) = f($)- Explain in words why the function g has an inverse while f does not