Question

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.

Answer 1

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 2

The answer is 3/2.

Explanation:

The rational function is below:

`f(x)=(x-4)/(2x-3)`

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