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:
8.53°
Step-by-step explanation:
Observe the attached image.
The ramp forms an alpha angle triangle with an opposite side of 6 ft and an adjacent side of 40 ft.
We know that the tangent of an angle is defined as:
So:
To clear the angle we apply the inverse of the tangent (arctangent) on both sides of the equation:
Answer:
The expression (16^3–8^3)(4^3+2^3) is divisible by 63
The answer is
4096
Step-by-step explanation:
Firstly let us evaluate expression
=(16^3–8^3)(4^3+2^3)
=(4096-512)(64+8)
=(3584)(72)
=258048
=258048/63
= 4096
I'm pretty sure the answer is x=122
#3 is $25.98 because first you multiply 24 by 8.25% which equal 1.98 and then add 24 and 1.98 which equal $25.98