F(x)=x^2-12 and g(x)=2x+13 find (g-f)(5)

Hello from MrBillDoesMath!

10

Discussion:

(g-f)(5)  =

g(5) - f(5) =

(2(5)+13) - (5^2-12) =                                 => as 5^2 = 25

(10+13) - (25-12) =

23 - 13 =

10

Thank you,

MrB

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:

what is

step-by-step explanation: