Write the equation for Chelsea's graph in
1 answer:
Answer:
.
Step-by-step explanation:
From the given graph it is clear that the y-intercept is 16.
The line passes through (-2,24) and (2,8). So, slope of line is
Slope intercept form of a line is
where, m is slope and b is y-intercept.
Substitute m=-4 and b=16 in the above equation.
Therefore, the required equation is .
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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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