Can someone please answer this multiple choice question it was only 2 I need it right now I have 10 or 20 minutes left please an
swer it correctly please and please please show work
1 answer:
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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:
4(x - 1) = 4x - 4
3x + 6 = 3(x + 2)
Step-by-step explanation:
The first equation is
We simplify to get;
This is not true, therefore this equation has no solution.
The second equation is
Combine like terms:
This has a unique solution.
The 3rd equation is
Group similar terms:
The 4th equation is :
This is always true. The equation has infinite solution.
The 5th equation is:
This also has infinite solution
The 6th equation is
It has a unique solution.