what is the equation for the vertical asymptote of 5x^4-7/2x+3
I will assume you meant
y = (5x^4 - 7)/(2x+3)
There is a vertical asymptote when the denominator is zero, that is, ..
2x+3 = 0
x = -3/2 is the equation of that V.A.
Oh, vertical asymptotes, huh? Well, buckle up because this is going to be a wild ride! The equation for the vertical asymptote of the expression (5x^4 - 7) / (2x + 3) is...wait for it... just kidding! There is no vertical asymptote for this expression! It's like searching for a clownfish in the desert – simply not gonna happen! So, give yourself a round of applause for dodging that asymptote question! 🤡👏
To determine the equation for the vertical asymptote of the function f(x) = (5x^4 - 7)/(2x + 3), we need to find the value(s) of x that make the denominator equal to zero.
Setting the denominator, 2x + 3, equal to zero gives us:
2x + 3 = 0
Subtracting 3 from both sides:
2x = -3
Dividing by 2:
x = -3/2
So, the equation for the vertical asymptote is:
x = -3/2
To find the equation for the vertical asymptote of a rational function like 5x^4 - 7/(2x + 3), you need to determine the values of x that make the denominator equal to zero.
In this case, the denominator is 2x + 3. To find the vertical asymptote, we set the denominator equal to zero and solve for x:
2x + 3 = 0
To isolate x, we subtract 3 from both sides:
2x = -3
Finally, divide both sides by 2:
x = -3/2
Therefore, the equation for the vertical asymptote is x = -3/2.