If f(x) = 2x3 - 4x2 + 2, and g(x) = x3 - 2x2 - 2x + 4, then f(x) - g(x) =

f(x) - g(x) = x³ - 2x² + 2x -2.

Step-by-step explanation:

Given : f(x) = 2x³ - 4x² + 2 and g(x) = x³ - 2x² - 2x + 4.

To find  :  f(x) - g(x) .

Solution : We have  f(x) = 2x³ - 4x² + 2 and g(x) = x³ - 2x² - 2x + 4.

f(x) - g(x) =  2x³ - 4x² + 2 - (  x³ - 2x² - 2x + 4).

f(x) - g(x) =  2x³ - 4x² + 2 -  x³ + 2x² + 2x -4.

Combine like terms

f(x) - g(x) = 2x³ - x³ - 4x² + 2x² +2x + 2 -4.

f(x) - g(x) = x³ - 2x² + 2x -2.

Therefore, f(x) - g(x) = x³ - 2x² + 2x -2.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.