(15pts) How many different solutions does f(x) have f(x)=x^(2)+4
How many different solutions does g(x) have g(x)=x(x+4)
How many different solutions does h(x) have h(x)=(x-1)2

Explanation is in the file

cutt.ly/zxt1ipy

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:

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3