Respuesta :
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 x⁴ and the power in dernominator is x².

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
#SPJ3