Let f(x) = -2x + 7 and g(x) = -6x + 3. Find fxg and state its domain.

-14x^2 + 36x - 18; all real numbers except x = 7

-14x^2 + 36x - 18; all real numbers

12x^2 - 48x + 21; all real numbers except x = 1

12x^2 - 48x + 21; all real numbers

Option D: ; all real numbers.

Explanation:

Given that the functions are and

We need to determine the value of and its domain.

The value of :

The value of can be determined by multiplying the two functions.

Thus, we have,

Thus, the value of is

Domain:

We need to determine the domain of the function

The domain of the function is the set of all independent x - values for which the function is real and well defined.

Thus, the function has no undefined constraints, the function is well defined for all real numbers.

Hence, Option D is the correct answer.

12x² - 48x + 21; all real numbers

Step-by-step explanation:

f(x) = -2x + 7

g(x) = -6x + 3

f(x)×g(x) = (-2x + 7)(-6x + 3)

= 12x² - 42x - 6x + 21

= 12x² - 48x + 21

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet