The vertices of a rectangle are A(-4,-3) b(-4,-1)C(-1,-1)d(-1,-3)
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The statement "The domain of (fg)(x) consists of the numbers x that are in the domains of both f and g" is FALSE.
Domain is the values of x in the function represented by y=f(x), for which y exists.
THe given statement is "The domain of (fg)(x) consists of the numbers x that are in the domains of both f and g".
Now we assume the and
So here since g(x) is a polynomial function so it exists for all real x.
<em> </em>does not exists when
, so the domain of f(x) is given by all real x except 6.
Now,
So now (fg)(x) does not exists when x=4, the domain of (fg)(x) consists of all real value of x except 4.
But domain of both f(x) and g(x) consists of the value x=4.
Hence the statement is not TRUE universarily.
Thus the given statement about the composition of function is FALSE.
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Answer:
The answer is "Expression: x+(x+2)".
Step-by-step explanation:
Given:
The sum of two consecutive even numbers
Proving:
Let,
The First number is = x
The second consecutive number is = x+2
Calculating value by adding value:
Expression:
when x= 1, 2, 3 .... it gives:
That's why the sum of consecutive numbers is even.