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Tutor profile: Liam H.

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Liam H.
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Questions

Subject:Pre-Calculus

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Question:

Determine the implied domain of the function $$f(x)=sqrt{x+1}$$.

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Liam H.

To determine the implied domain of a function, we need to think about where the function is defined. The square root function is only defined for non-negative numbers, so we require that $$x+1>=0$$. That is, we need the inside of the root to be positive or zero, else our function won't be defined. Now we just need to solve $$x+1>=0$$ ===> x>=-1. And so the implied domain of f is [-1,infinity)

Subject:Calculus

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Question:

Find the derivative of the function $$f(x)=x^{2} \sin(x)$$

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Liam H.

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