Question

What is the domain of f/g, given f(x)=x+2 and g(x)=x-7?

Answer 1

The correct answer i believe is A.

Answer 2

(-∞,7) U (7,∞)

Explanation:

f(x)= x+2

g(x) = x-7

`(f(x))/(g(x)) =(x+2)/(x-7)`

Here we have x-7 in the denominator

To find domain we set the denominator =0 and solve for x

x-7=0

Add 7 on both sides

x=7

x=7 makes the denominator 0 that is undefined

So we ignore 7 for x

Hence domain is

(-∞,7) U (7,∞)