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Answer:

The answer is shown in the picture.

Step-by-step explanation:

When the power in the numerator is greater than the power in the dernominator, you have to use Long Division. In this question, the power in numerator is x and the power in dernominator is x².

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The required value for two given functions p(x) and g(x) is

x⁴/(2 – x²) - 5x/(2 – x²)]+ 6/(2 – x²).

What is a function?

A function is a relation between the input and output of a system.

For a function, a particular input gives a certain value of output.

Tow given functions are

p(x) = (x⁴ – 5x + 6)

g(x) = (2 – x²)

Now, p(x)/g(x)

= (x⁴ – 5x + 6) ÷ (2 – x²)

= (x⁴ – 5x + 6)/(2 – x²)

= x⁴/(2 – x²) - 5x/(2 – x²) + 6/(2 – x²)

Learn more about function here:

https://brainly.com/question/15070328

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