Let . Work through the tasks…

MATHEMATICS · Multi-part · GCSE · Mathematics · Algebra · Algebra

Problem

Let

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

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

x

for which

g(x)

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

g

. (iii) Evaluate

g(4)

and comment on whether

g(2)

exists, giving reasons in each case.