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Given f(x)=√x and g(x)=x^2 solve for g/f and state the domain and range of the...
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You need to find the equation of the function `g/f ` such that:
`(g(x))/(f(x)) = (x^2)/sqrt x`
You need to multiply by `sqrt x` both numerator and denominator to remove the square root from denominator such that:
`(g(x))/(f(x)) = (x^2)*sqrt x/x`
Reducing by x yields:
`(g(x))/(f(x)) = x*sqrt x`
Notice that the equation of function `(g(x))/(f(x)) ` contains the square root function, hence, the radicand needs to be positive such that:
`x gt= 0`
The domain of the function is restricted to interval `[0,oo)` and the range is also the interval `[0,oo)` `` .
Posted by sciencesolve on May 25, 2012 at 7:45 PM (Answer #1)
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