F(x)=x^3+6x^2+1x^1/2 and g(x)=x^1/2. Find f(x)/g(x) A. X^5/2+6x^3/2-1
B. (X^5+6x^3+1)^1/2
C. X^5/6+6x^3/2+1
D. X^3/2+6x+x^1/4
E. X^3/2-6x+x^1/4

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:

practice. practice. practice.

=

x=0.8898305 is the answer to that equation