Will mark find f(x) and g(x) so that the function can be described as y = f(g( y = 8/x^2 + 2

One possibility is ...

... f(x) = 2/x +2

... g(x) = (x/2)^2

Step-by-step explanation:

There are very many possibilities. The only requirement is that when you put the expression for g(x) in the place of x in the definition of f(x), the result simplifies to ...

... f(g(x)) = 2/x^2 +2

For the suggested functions, we have

... f((x/2)^2) = 2/(x/2)^2 +2 = 2·4/x^2 +2 = 8/x^2 +2 . . . . as desired.

Alternate Solutions

One of the simplest might be ...

... g(x) = x

... f(x) = 8/x^2 +2

Then f(g(x)) = f(x) = 8/x^2 +2.

answer: 33 ( approx)

step-by-step explanation:

since, in the linear regression formula, the slope is the a in the equation y = b + ax ( by comparing it with the general equation of line y = mx + c )

where,

here given table is,

price ($), x   :           18         23       25       29       30       33

pairs sold, y :         16         13         10       8         6       2

so, ,   ,   ,

and   ,

thus, slop of the given line is,

⇒  

⇒   ≈ 33