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Given f(x)=√x and g(x)=x^2 solve for f*g and state the domain and range of the...

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spock5 | Student, Undergraduate | Honors

Posted May 25, 2012 at 7:11 PM via web

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Given f(x)=√x and g(x)=x^2 solve for f*g and state the domain and range of the resulting function or relation

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sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted May 25, 2012 at 7:49 PM (Answer #1)

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You need to find the equation of product function such that:

`f(x)*g(x) = sqrt x*x^2`

Notice that the equation of the function contains the square root function, hence you need to impose that radicand to be positive such that:

`xgt=0`

Hence, the domain of the function is the interval `[0,oo)`  and the range is also the interval `[0,oo).` 

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