Determine the vertical asymptote for the rational function f of x equals quantity x minus 4 end quantity divided by quantity 2 times x minus 3 end quantity.

Respuesta :

Answer:

Step-by-step explanation:

The vertical asymptote exists where the denominator of that function equals 0.  To find where it equals 0, set the denominator equal to 0 and solve for x:

2x - 3 = 0 and

2x = 3 so

x = 3/2

The vertical asymptote is at x = 3/2 or 1.5

Answer:

The answer is 3/2.

Step-by-step explanation:

The rational function is below:

[tex]f(x)=(x-4)/(2x-3)[/tex]

To determine of the vertical asymptote of the rational function we need to find the x value that makes denominator zero.

Then;

2x-3=0

x=3/2

the vertical asymptote for the rational function is 3/2