Consider the function .

MATHEMATICS · Multi-part · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

Consider the function

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

. (i) Find the domain of

g

. (ii) State the range of

g

. (iii) If the domain of

g

is restricted to the interval

[0,5]

, write the new domain and the corresponding range.