Im stumped and need help! i do know that one answer is d, but i need one more!
2 answers:
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<h3>Answer: [-3, 2)</h3>
Explanation:
The domain is the set of all allowed x inputs of a function.
The smallest x can get is x = -3 as shown by the left-most point.
The largest x can get is x = 2, though we can't actually reach this value due to the open hole at the right-most point.
The interval of all possible x values is which converts to the interval notation [-3, 2)
We use a square bracket to include the endpoint and a parenthesis to exclude the endpoint.
We can say "x is any number between -3 and 2, including -3 but excluding 2".
Answer:
and
.
Step-by-step explanation:
So I believe the problem is this:
where we are asked to find values for and
such that the equation holds for any
in the equation's domain.
So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).
In other words this will clear the fractions.
As you can see there was some cancellation.
I'm going to plug in -7 for x because x+7 becomes 0 then.
Divide both sides by -10:
Now we have:
with
I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.
Divide both sides by 10:
So and
.