Question

Find the domain of each function using interval notation. 13. f(x) = -2x (x-1) (x-2)14. f(x) = 9 / x-6

Answer 1

Domain are the set of possible values that put in the function such that it gives possible solution and the function will be well defined

In the given function :

(13) . f(x) = -2x(x-1)(x-2)

In the given function the the values of x can be any real number of integer there is no such value that can make the function undefined (the denominator cannot be zero)

So domain is -infinity to + infinity

[tex]\text{ Domain = }\mleft\lbrace-\infty(14). f(x) = 9/x-6

In this given function the values of x can not be 6

Because at x=6

then denominator = 6-6=0

so, the function will become undefined

thus x cannot be zero hence the domain will defined as:

[tex]\text{Domain : }\mleft\lbrace-\infty\leq x<6\text{ }U\text{ 6}That is value lie from - infity to 6 and then 6 to infinity,