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Evgesh-ka [11]
3 years ago
12

Determine the polynomial equivalent to this expression.

Mathematics
1 answer:
gregori [183]3 years ago
6 0

Answer:

\dfrac{x^2-9}{x-3}= \Large \boxed{x+3}

Step-by-step explanation:

Hello,

We need to work a little bit of the expression to see if we can simplify.

Do you remember this formula?

   for any a and b reals, we can write

   a^2-b^2=(a-b)(a+b)

We will apply it.

For any x real number different from 3 (as dividing by 0 is not allowed)

\dfrac{x^2-9}{x-3}=\dfrac{x^2-3^2}{x-3}=\dfrac{(x-3)(x+3)}{x-3}=x+3

So the winner is C !!

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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A linear function and its inverse are given.
jarptica [38.1K]

Answer:

x: -5,  -3,   0,  1,  4

y:-23, -15, -3, 1, 13        for the function.

x:-23, -15, -3, 1, 13

y: -5,   -3,  0,  1,  4         for the inverse.

Step-by-step explanation:

we know that if we have the function f(x) = y, then the inverse of f(x) (let's call it g(x)) is such that:

g(y) = x.

now we have

y=4x-3

y=(1/4)x+3/4

The only table that works for our first function is:

x: -5,  -3,   0,  1,  4

y:-23, -15, -3, 1, 13

You can see this by replacing the values of x and see if the value of y also coincides.

Then, using the fact that the other table must be for the inverse, we should se a table with the same values, but where the values of x and y are interchanged.

The second table is that one:

x:-23, -15, -3, 1, 13

y: -5,   -3,  0,  1,  4

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11⁶/11²=11/⁴ because when we divide numbers with the same base, we subtract the powers.

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I hope this helps you!

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