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There are 2 more answers to this question which I will send.

There are 2 more answers to this question which I will send.-example-1
User Dannyxnda
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1 Answer

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The given function is

f(x) = (x^2 - 9x + 20)/(x - 4)

We would simplify the quadratic function in the denominator. We would find two terms such that their sum or difference is - 9x and their product is 20x^2. The terms are - 5x and - 4x. Thus, we have

x^2 - 5x - 4x + 20

By factorising, we have

x(x - 5) - 4(x - 5)

The function would be

f(x) = (x - 4)(x - 5)/x - 4)

f(x) = x - 5

This is same as

y = x - 5

We would look at the points in each graph, substitute their x and y values and choose the graph that satisfies the function

For the first graph,

if x = - 4 and y = 1, then we have

1 = - 4 - 5 = = 9

This does not satisfy the funtion

For the second graph,

x = 4, y = - 1

- 1 - 4 - 5 = - 1

It satisfies the function

The second graph is correct

For the third graph

x = - 4, y = 9

9 = - 4 - 5 = - 9

This does not satisfy the funtion

For the fourth graph

x = 4, y = - 9

- 9 = 4 - 5 = - 1

This does not satisfy the funtion

User Mohsen Nosratinia
by
8.3k points

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