Domain of Function

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Question 1
The domain of a function is the set of all real values for which the function is real valued.

Question 2
If functions f and g have domains [a, b] and [c, d] respectively, then the domain of $\frac{f}{g}$ is given by

Question 3
What is the domain of [tex] f(x)=x^2-12x+8x^7-3 [/tex]?

Question 4
What is the domain of [tex] g(x)=\sqrt[4]{1-x^2} [/tex]?

Question 5
What value can [tex]k[/tex] have so that the function [tex] h(x)=\frac{x^2-8}{x^2+k} [/tex] has domain [tex]\mathbb{R}[/tex]?

Question 6
What is the domain of [tex] h(x)=\sqrt{\frac{1-x}{x+1}} [/tex]?

Question 7
If the domain of [tex] g(x)=\frac{1}{\sqrt{x^2-kx+4}} [/tex] is [tex] \mathbb{R} [/tex], what is the value of [tex] k [/tex]?

Question 8
The domain of which one is not [tex] \mathbb{R} [/tex]?

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