Question

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

Answer 1

Answer:

(-∞,7) U (7,∞)

Step-by-step explanation:

f(x)= x+2

g(x) = x-7

$\frac{f(x)}{g(x)} =\frac{x+2}{x-7}$

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,∞)

Answer 2

Answer:

The correct answer i believe is A.