Question

at x = 4 + δx, the value of the function is g(4 + δx) = 18 - (4+δx)^2. hence, m = lim_(δx→0) ((18 - (4 + δx)^2)-( ) )/δx.

Explanation:

Step1: Find g(4)

$g(4) = 18 - 4^2 = 18 - 16 = 2$

Step2: Identify the blank

The numerator is $g(4+\Delta x) - g(4)$, so the blank is $g(4)=2$

Answer:

2