Answer:
The option is: <em>all real values except x = 7 and the x for which f(x) = -3</em>
Step-by-step explanation:
As the domain of f(x) is the set of all real values except 7. So it can be written as follows:
Domain of f(x) = { x ∈ R | x ≠ 7}
As the domain of g(x) is the set of all real values except -3. So it can be written as follows:
Domain of g(x) = { x ∈ R | x ≠ -3}
It is a common rule that the domain of a composite function (gºf)(x) will be the set of those input x in the domain of f for which f(x) is in the domain of g.
So, the option is: <em>all real values except x = 7 and the x for which f(x) = -3</em>
Keywords: domain, composite function
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Answer:
yes he can
Step-by-step explanation:
he has to pay total is : 46+46x6%=48.76$
so he can pay that
Step-by-step answer:
The steps are much easier to follow when we know how many product it sells. The number does not really matter, because we need the profit per item.
Say, the company made and sold 100 items of the product.
The revenue = 100*5 = $500.
On the average, 2 out of 100 are defective and need to be replaced at a cost of $100 each, so
replacement cost = 2* 100 = 200
So net profit for 100 items = $500 -$200 = $300
Net profit for each item = $300/100 = $3.00
Remark: since the product is replaced, no refund is necessary, so revenue stays at $300.
Answer:
10 m/s
Step-by-step explanation:
Velocity= Position/Time
You can take any point on the line to calculate velocity.
Lets take t=1s
At t=1, position=10m
velocity= 10m/1s
=10 m/s
You can take any other point too, velocity will remain same.
For eg.
At t=5s
position=50m
velocity=50/5
=10m/s
Hope it helps :-)
Please let me know if there’s something you don’t understand. Hope this helps!