Given f (x)
— 4x2 – 3x +1 and g(x)
= X -
2 find
d f(g(5))

26

Step-by-step explanation:

Given f(x) = 4x^2 - 3x + 1

and g(x) = x - 2

find f(g(5))

First off, since we're entering g(x) into f(x) as its x-value, we have to substitute f(x)'s x's as g(x).

4(x - 2)^2 - 3(x - 2) + 1

But, since g(x)'s x-value is equal to 5, we have to plug that in as its x-value.

4(5 - 2)^2 - 3(5 - 2) + 1

Now, we simplify.

4(3)^2 - 3(3) + 1

4(9) - 3(3) + 1

36 - 9 + 1

36 - 10

= 26

han when lo ahe whn hew anh ? ?

explanation:

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: