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uranmaximum [27]
3 years ago
13

Write an equation for a function that has vertical asymptotes at x=3 & x=-10

Mathematics
1 answer:
stepan [7]3 years ago
7 0

Answer:

\frac{5}{ {x}^{2}   + 7x - 30}

Step-by-step explanation:

We can write a rational function.

We need to make sure our denominator both have zeroes at 3 and 10.

Set an equation equal to zero to find the function

0 - x = 3

0 - x =  - 10

0 - ( - 3) =  = 3

0 - 10 = 10

So we would represent that's as

x - 3

and

x + 10

Multiply the two binomial together.

(x - 3)(x + 10) =  {x}^{2}  + 7x  - 30

Let our numbetator be any interger.

Use any equation as long as the quadratic is the denominator and the interger is the numerator.

\frac{5}{ {x}^{2} + 7x - 30 }

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