Mathematics: Determine the vertical asymptote for the rational function F of X equals quantity X minus end quantity divided by quantity2 times X plus 3 end quantity

The answer is 27 cause that’s what the calculator said...

Determine the vertical asymptote for the rational

nkh69

23.01.2022

We have been given a function $f(x)=\frac{x-4}{2x+3}$ . We are asked to find the vertical asymptote of the given rational function.

We know that vertical asymptote of a rational function is the point, where denominator of rational function is equal to zero.

To find vertical asymptote for our given rational function, we will equate denominator with 0 as:

2x+3=0

Let us solve for x.

2x+3-3=0-3

2x=-3

$\frac{2x}{2}=\frac{-3}{2}$

$x=-\frac{3}{2}$

Therefore, the vertical symptote of our given rational function is $x=-\frac{3}{2}$ .

0,0(0 оценок)