Question

find the domain of the function
g(x)=1/10-9x
Can someone please help

Answer 1

seeing 0 cant be in the denominator we have to exclude 0 from the domain so,
g(x) = 1/10-9x
= 10-9x = 0
=> 10 = 9x
=> 10/9 = x so with this given value in x its determined that the denominator will be 0 at 10/9 so to exclude this from the domain we write the domain like this
\[(-\infty,10/9)U(10/9,\infty)\]
what this is saying is that the domain consists of any number between - infinity to positive infinity excluding 10/9

Answer 2

thank you

Answer 3

you're quite welcome

Answer 4

the domain is R/{10/9}