For the function f(x) = 18/(3x-14) determine the x-coordinate of any vertical asymptote
Set the denominator equal to zero and solve for x.
3x-14 = 0
3x=14
x=14/3
This is the x-coordinate of the vertical asymptote.
For the function f(x) = 1/(6x2+5x+16) determine if there is a vertical asymptotes
To find the x-coordinate of any vertical asymptote for the function f(x) = 18/(3x-14), we need to identify the values of x for which the denominator becomes zero.
In this case, the denominator is 3x - 14. We set this expression equal to zero and solve for x:
3x - 14 = 0
To isolate x, we add 14 to both sides:
3x = 14
Finally, divide both sides by 3:
x = 14/3
Therefore, the x-coordinate of the vertical asymptote is x = 14/3.