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

What is the domain of f/g, given f(x)=x+2 and g(x)=x-7?-example-1
User Geekscrap
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2 Answers

6 votes

Answer:

The correct answer i believe is A.


User Mfkl
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8.3k points
6 votes

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,∞)

User Vladimir Shefer
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