Answer:
See below.
Step-by-step explanation:
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:
The average speed is 24 km/h less than the top speed of the lorry.
Step-by-step explanation:
The top speed of the lorry is the highest speed reached during transit, while its average speed is the mean speed attained
Given:.
Top speed of the lorry = 90 km/h
Average speed of the lorry = 66 km/h
Then,
The difference between the speed reached = top speed - average speed
= 90 - 66
= 24 km/h
Therefore, the average speed is 24 km/h less than the top speed of the lorry.
Answer:
x=π/2 ,3π/2
Step-by-step explanation:
cot x(csc x+1)=0
either cot x=0
tanx=∞=tan (π/2)
x=π/2
or csc x=-1
or sin x=-1=-sin (π/2)=sin (π+π/2)=sin (3π/2)
x=3π/2
