Question

If c(x) - x-3 and d(x) = x + 3, what is the domain of (cd)(x)?

Answer 1

All Real numbers

Explanation:

c(x)= x-3

d(x) = x+3

dc(x)= (x-3)(x+3)

`(a+b)(a-b)=(a^2-b^2)`

`dc(x) = (x^2-9)`

`x^2-9` is defined for all values of x , And hence the domain of cd(x) will be set of all Real Numbers