Find the natural domain of the function gf.

f(x)= √x g(x)= x-5

Thanks.

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- Oct 9th 2009, 11:26 PMOasis1993Domain
Find the natural domain of the function gf.

f(x)= √x g(x)= x-5

Thanks. - Oct 10th 2009, 12:05 AMmr fantastic
- Oct 10th 2009, 05:07 AMHallsofIvy
But I would have interpreted "gf" as the product, $\displaystyle (x- 5)\sqrt{x}$ which also has natural domain $\displaystyle x\ge 0$. The composition the other way, $\displaystyle f\circ g(x)= \sqrt{x- 5}$, on the other hand, has natural domain $\displaystyle x\ge 5$.