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15 votes
For f(x)=2x+1 and g(x2-7 find f/g (x)

For f(x)=2x+1 and g(x2-7 find f/g (x)-example-1
User Kolam
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1 Answer

12 votes
12 votes

Answer:

Option c.

Explanation:

We are given these following functions:


f(x) = 2x + 1


g(x) = x^2 - 7

Division:

The division of those functions is:


(f)/(g)(x) = (2x + 1)/(x^2-7)

Domain:

We have a fraction, so we have to take the domain of the function in consideration. The denominator cannot be 0, thus:


x^2 - 7 \\eq 0


x^2 \\eq 7


x \\eq \pm √(7)

Thus, the correct answer is given by option C.

User BartoszKP
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2.4k points