Question

What would be the answer to this question

Answer 1

B

Explanation:

(
`(f)/(g)`)(x)

=
`(3x+5)/(3x^2-x-10)` ← factor denominator

=
`(3x+5)/((x-2)(3x+5))` ← cancel (3x + 5), leaving

=
`(1)/(x-2)`

The denominator cannot be zero as this would make the fraction undefined. Equating the denominator to zero and solving gives the value that x cannot be.

solve x - 2 = 0 ⇒ x = 2 ← excluded value

domain is the set of all real numbers except 2

Answer 2

The third one is the one I would choose

Hope this helped :)

Explanation: