Mathematics

Problem

Let

g(x)=\dfrac{2x+1}{x^{2}-5x+6}

. Work through the tasks below: a. (i) Identify all real values of

x

for which

g(x)

is not defined. b. (ii) Hence determine the domain of

g

. c. (iii) Evaluate

g(4)

and comment on whether

g(2)

exists, giving reasons in each case.