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Two functions are shown.
ƒ(x)=x3−4x+2
g(x)=(x−2)2

Which expression is equal to ƒ(x)−g(x)?

A
x3−x2−2

B
x3−x2−8x−2

C
x3−x2−8x+6

D
x3+x2−8x+6

Respuesta :

mayie07
X^3 - 4x + 2 - ( x -2 ) ^ 2
X^3 - 4x + 2 - (x ^2 - 4x + 4)
X^3 - 4x + 2 - x^2 + 4x - 4
X ^3 - X^2 - 2

The ƒ(x)−g(x) is equal to x³ - x² - 2 option (A) x³ - x² - 2 is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have two functions:

ƒ(x) = x³ − 4x + 2

g(x) = (x−2)²

= ƒ(x) - g(x)

= (x³ − 4x + 2) - (x−2)²

= (x³ − 4x + 2) - (x² - 4x + 4)

= x³ − 4x + 2 - x² + 4x - 4

= x³ - x² - 2

Thus, the ƒ(x)−g(x) is equal to x³ - x² - 2 option (A) x³ - x² - 2 is correct.

Learn more about the function here:

brainly.com/question/5245372

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