Answer:
Option (2)
Step-by-step explanation:
Given functions are,
c(x) = [tex]\frac{5}{x-2}[/tex]
d(x) = x + 3
Equation of the composite function will be,
(cd)(x) = c(x) × d(x)
= [tex]\frac{5}{(x-2)}\times (x+3)[/tex]
= [tex]\frac{5(x+3)}{(x-2)}[/tex]
This function is defined only when denominator is not equal to zero.
(x - 2) ≠ 2
Therefore, for real numbers except x = 2 will be the domain of the composite function.
Option (2) will be the answer.
