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

Question

asked Jun 5, 2022 228k views

1 Answer

Mike Clymer · Answer 1 · 2022-06-11T23:19:03+0000

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.