Answer:
D
Step-by-step explanation:
We have the set:
Remember that the domain for a set of values is simply the input values.
In other words, our domain will be all of our x-coordinates.
We can see that our x-coordinates are: 2, -1, 0, -1, and 4.
So, our domain is:
Note that we only write need to write the -1 once.
So, our answer is D.
And we're done!
Answer:
The domain is (-∞ , -3) ∪ (-3, ∞) ⇒ D
Step-by-step explanation:
<em>The domain of the rational fraction is t</em><em>he values of x which make the fraction defined</em><em>. That means </em><em>the domain does not contain the values of x which make the denominator equal to 0</em><em>.</em>
∵ g(x) =
∴ The denominator = x + 3
→ Equate the denominator by 0
∵ x + 3 = 0
→ Subtract 3 from both sides
∴ x + 3 - 3 = 0 - 3
∴ x = -3
→ That means the domain can not have -3 because it makes the denominator
equal to 0
∴ The domain is all values of real numbers except x = -3
∴ The domain = {x : x ∈ R, x ≠ -3}
∴ The domain = (-∞ , -3) ∪ (-3, ∞)
