how to find the equation of the vertical asymptote of h(x)=0.02/(6.5x-2.1), and....is the domain all real numbers except -2.1?

Question

reemii · Answer

the numbers excluded from the domain are those x who make the denominator equal to zero.
6.5x-2.1=0 , solve for x, you'll obtain: x = 2.1/6.5

the asymptote has equation x = 2.1/6.5 the line is vertical (x=...) and it happens at the excluded value (2.1/6.5)

anonymous · Answer

so domain is all real numbers except 0.02?

anonymous · Answer

and do i divide 2.1/6.5 for the equation, or is it 2.1/6.5 the solution?

anonymous · Answer

thank you, by the way-math is not easy for me..

reemii · Answer

2.1/6.5 = 0.323..
we can call this number, say,  $\alpha$  and the equation is: $x=\alpha$.
and $\alpha$ is the number excluded from the domain. (the domain is $\mathbb{R}\setminus \{\alpha\})$.