yvictoria16
yvictoria16
04-07-2018
Mathematics
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Don't know what to do :\\
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jimthompson5910
jimthompson5910
04-07-2018
Answer: Choice A) 12x^2 - 48x + 21; all real numbers
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Work Shown:
(f * g)(x) = f(x) * g(x)
(f * g)(x) = ( f(x) ) * ( g(x) )
(f * g)(x) = ( -2x+7 ) * ( -6x+3 )
(f * g)(x) = -2x*( -6x+3 ) + 7*( -6x+3 )
(f * g)(x) = -2x*(-6x) - 2x*(3) + 7*(-6x) + 7*(3)
(f * g)(x) = 12x^2 - 6x - 42x + 21
(f * g)(x) = 12x^2 - 48x + 21
The domain is the set of all real numbers
because we can plug in any number in for x, to get some output for y. There are no issues to worry about such as division by zero errors, square root of a negative number, etc.
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