The function given in the question is
g(x) = 4x - 5
When x = 2, then
g(2) = (4 * 2) - 5
= 8 -5
= 3
When x = - 4, then
g(-4) = (4 * -4) - 5
= - 16 - 5
= - 21
From the above deduction, it can be concluded that the correct option among all the options given in the question is the third option or "The value of g(2) is larger than the value of g(-4)". I hope that the procedure is clear enough for you to understand.
