Please HELP with this question?

Question

Let f(x) = 5(2 - x)/(x – 3)^3. Determine the coordinates of the x and y-intercepts.

a) [0, -(10/27)], (2, 0)
b) (0, 3) (2, 0)
c) no x- or y- intercepts
d) (3, 0), [0, -(10/27)]

Answer 1

Hmmmm......
How many accounts do you have?

Spring S
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Model Beauty
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Brit L
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slow_math
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mark P
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Full of Questions
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Ash O
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That's at least 7.

It doesn't take a rocket scientist to figure this out.
All the questions are pretty much posed the same way, AND some of the questions are repeated by the multiple accounts.

Answer 2

Answer: a) [0, -(10/27)], (2, 0)


x-intercept (x,0)
x=2



y-intercept (0,y)
f(0)=-10/27

Answer 3

y = 5(2-x) /(x-3)^3

if you want to get y intercept ,put x=0

y = 5(2-0)/(0-3)^3 = -10/27
so,the point is (x,y)=(0,-10/27)
-----------------------------------------------
to get x-intercept,put y=0

0 = 5(2-x) /(x-3)^3
0 * (x-3)^3 = 5(2-x)
0 =5(2-x)
0/5 =5(2-x)/5
0=2-x
2=x
so the point is (2,0)
------------------------------------
so the answer is a)[0, -(10/27)], (2, 0)