SOLUTION: I don't know how to find the doamain and rancge of f(X)*g(x) f(x)= 4x^2/3 and g(x)= 5x^1/2 (the star is my multiplication symbol)

Algebra ->  Rational-functions -> SOLUTION: I don't know how to find the doamain and rancge of f(X)*g(x) f(x)= 4x^2/3 and g(x)= 5x^1/2 (the star is my multiplication symbol)      Log On


   

Question 407048: I don't know how to find the doamain and rancge of f(X)*g(x) f(x)= 4x^2/3 and g(x)= 5x^1/2 (the star is my multiplication symbol)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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
---------------
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
----
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%28400%2C300%2C-10%2C10%2C-10%2C10%2C%284x%5E%282%2F3%29%2A5x%5E%281%2F2%29%29%29
======================
Cheers,
Stan H.
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