Question 407048
I don't know how to find the 
domain and range of f(X)*g(x) 
where f(x)= 4x^(2/3) and g(x)= 5x^(1/2)
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Domain of f is all Real numbers
Range of f is all Real numbers >= 0 because of the squaring
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Domain of g is all Real numbers >= 0 because of the (1/2) power
Range of g is all Real numbers >= 0 because of the (1/2) power
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So:
Domain of f(x)*g(x) is all Real numbers >= 0
Range of f(x)*g(x) is all Real numbers >= 0
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Try graphing f(x)*g(x) so you can see the Domain and the Range
{{{graph(400,300,-10,10,-10,10,(4x^(2/3)*5x^(1/2)))}}}
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Cheers,
Stan H.
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