Question

use analytic methods to find any point of discontinuity for the given function.
f(x)= (7000x)/(2100-2x)

i have no clue what to do, can anyone help me please?

Answer 1

the discontinuity occurs when the denominator is equal to zero.

you need to solve 21 - 2x = 0

that value will be the discontinuity... or vertical asymptote.

Answer 2

that doesnt seem right it gives me a fraction of 1/1050

Answer 3

opps its

2100 - 2x = 0

that value of x is the discontinuity or vertical asymptote.

Answer 4

what does "analytical methods" mean? take
\[2100-2x=0\] and solve for \(x\)

Answer 5

oh what @campbell_st said

Answer 6

that gives me 1050 then what do i do do i do 7000x/1050?

Answer 7

@satellite73

Answer 8

here is a picture of whats happeneing


as x gets close to 1050 the function get close to infinity...