What is (f – g)(x);
f (x) = x3 – 2x2 + 12x – 6
g(x) = 4x2 - 6x +4

Step-by-step explanation:

f-g(x)=x³-2x²+12x-6-(4x²-6x+4)

=x³-6x²+18x-10

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

answer: .75 km

step-by-step explanation: