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

Question

asked Feb 1, 2019 171k views

2 Answers

Vladimir Shefer · Answer 1 · 2019-02-08T19:53:15+0000

Answer:

(-∞,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,∞)