Let f(x) = 12x^3 + x^2 − 8x − 2 and g(x) = 0.25f(x). Which of the following describes g as a function of f and gives the correct rule?

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.

$450

step-by-step explanation:

first, you have to multiply 150x2=300

next, you have to add 150+300= 450

2nd one in the first row is correct