Question

I need help with this problem... I know the formual is y = (ax+b)/[x(x+5)]
Vertical asymptotes: x=-5, x= 1
Horizontal asymptotes: y=0
x-intercept: (-3,0), y-intercept: (0,-(3/5))

Answer 1

there is no vert asymp at x=1; -5 and 0 yes

Answer 2

when x=0 we get -b/0 = -3/5 aint possible

Answer 3

well, b/0, but same perdicament

Answer 4

Heres the answer choices... I just need it explained
a. f(x) = x-3/ x^2+4x-5 b. f(x) = x+3/x^2+4x-5 c.x+3/ x^2-4x-5 d. f(x)= x-5/x^2+4x-5

Answer 5

i did explain it ; there are no possible results for a and b that can be parsed from teh given information

Answer 6

Perhaps there is a typo in the question. The answer choices imply that the denominator is (x-1)(x+5)
not x(x+5)

Answer 7

fuzzy logic, aint got no time for fuzzies :)

Answer 8

(x-1)(x+5) gives asymptotes of 1 and -5

Answer 9

I understand that part.. I just looked it up.. I just don't know how to the top part.

Answer 10

when you make x = 0, assuming the typo that is, the botom goes to -5

b/-5 = 3/-5 compare parts to solve for b

Answer 11

Here is your problem
\[ \frac{ax+b}{(x-1)(x+5) }\]
the question tells you y-intercept: (0,-(3/5))
what amistre did was put 0 in for x. you have to get -3/5 out.

Answer 12

Can you replace the x with 0 in the fraction, and simplify it?

Answer 13

No

Answer 14

Do it step by step. The top part is (ax+b)
if you put in 0 instead of x you get (a*0+b)
can you simplify this?

Answer 15

well, anything times 0 is zero. so, don't you take out the a because it wouldn't do anything if I found a or not

Answer 16

yes you get 0+b or just b
now do the bottom
(x-1)(x+5)
put in 0 for x, and simplify

Answer 17

b/-5

Answer 18

yes (0-1)(0+5) = -1*5 = -5
so b/-5
now remember y-intercept: (0,-(3/5))
that is short hand for when x=0 the fraction must equal -3/5
we found the fraction is
\[ \frac{b}{-5}= \frac{-3}{5} \]

Can you solve for b? You multiply both sides of the equation by -5

Answer 19

cross multiply ?

Answer 20

Cross multiply gives
5b = -5*-3 or
5b= 15
now you would multiply by 1/5 on both sides.

But I would just multiply the original problem by -5 on both sides.