G(x)=(x+4)^2 +1
“find the inverse rule for the function below”

√x-4+2-1=x=g-¹=(x)

Step-by-step explanation:

g(x)=(x+4)^2+1

x:

x=(x+4)^2+1

y=(x+4)^2+1

=x:x-4+2-1=x

√x-4+2-1=x=g-¹=(x)

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: