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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Identify the vertical asymptotes of f(x) = 10 over quantity x squared minus 7x minus 30.
Solution:
Vertical asymptotes are defined as the straight line of the equation towards the function f (x).
It is given that
f(x) = 10 over quantity x squared minus 7x minus 30
We can write it as
f(x) = 10/ (x2 - 7x - 30)
Let us take f(x) = 0
0 = 10/ (x2 - 7x - 30)
Let us factor the denominator
x2 - 7x - 30 = 0
Splitting the middle term
x2 - 10x + 3x - 30 = 0
Taking out the common terms
x(x - 10) + 3(x - 10) = 0
(x + 3)(x - 10) = 0
x + 3 = 0 or x - 10 = 0
x = -3 or x = 10
Therefore, the vertical asymptotes are x = -3 or x = 10.
Identify the vertical asymptotes of f(x) = 10 over quantity x squared minus 7x minus 30.
Summary:
The vertical asymptotes of f(x) = 10 over quantity x squared minus 7x minus 30 are x = -3 or x = 10.
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