Mathematics

Problem

Consider the function

g(x)=\dfrac{3x^{2}+2x-5}{x-2}

. a. (i) Identify the domain of

g(x)

. b. (ii) Find

g'(x)

and simplify your answer so that the denominator is free of common factors with the numerator. c. (iii) Calculate the value of

g'(5)