Answer:
and
Step-by-step explanation:
Note that if
then 
Functions
do not have vertical asymptotes at all.
Vertical asymptotes have functions
Functions
and
have the same vertical asymptotes (when
).
Functions
and
have the same vertical asymptotes (when
). See attached diagram
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So, making x subject of the formula, x = [m - 2pt³ ±√(m² - 4pt²m)]/{2t⁵}
<h3>How to make x subject of the formula?</h3>
Since p = √(mx/t) - t²x
So, p + t²x = √(mx/t)
Squaring both sides, we have
(p + t²x)² = [√(mx/t)]²
p² + 2pt²x + t⁴x² = mx/t
Multiplying through by t,we have
(p² + 2pt²x + t⁴x²)t = mx/t × t
p²t + 2pt³x + t⁵x² = mx
p²t + 2pt³x + t⁵x² - mx = 0
t⁵x² + 2pt³x - mx + p²t = 0
t⁵x² + (2pt³ - m)x + p²t = 0
Using the quadratic formula, we find x.

where
- a = t⁵,
- b = (2pt³ - m) and
- c = p²t
Substituting the values of the variables into the equation, we have

So, making x subject of the formula, 
Learn more about subject of formula here:
brainly.com/question/25334090
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