determine the domain of f when fx 4xsqr3xSolutionfx 4xsqr3x
determine the domain of f when f(x)= 4x[sqr(3-x)]
Solution
f(x)= 4x[sqr(3-x)]
 
 The domain is all the coordinates of the x-axis.
 As you already know, you cannot establish the square root of anything less than 0.
 Henceforth...
 (3-x) is greater than 0
 -x is greater than (0-3)
 -x is greater than -3
 x =< 3
 
 The domain is...
 x is from negative infinity to positive 3.
 domain=-oo to 3
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