Let f(x) = -4x - 2 and g(x) = 5x - 6. find f*g and state its domain.

8x2 + 34x - 30; all real numbers

8x2 + 34x - 30; all real numbers except x = 1

-20x2 + 14x + 12; all real numbers

-20x2 + 14x + 12; all real numbers except x = 6

Option 3. (-20x2 + 14x + 12; domain: all real numbers) is the right answer.

Step-by-step explanation:

Let f(x) = -4x - 2 and g(x) = 5x - 6

then f(x)×g(x) = (-4x-2)(5x-6)

                    = -(4x+2)(5x-6)

                   = -( 20x²-24x+10x-12)

                   = -( 20x²-14x-12)

         f(x)×g(x)  = -20x² + 14x + 12

Since we know domain: f(x) ∈ R

Similarly for g(x) domain: g(x) ∈ R

Then domain of multiplication of both the function will be domain: f(x)×g(x) ∈ R.

ian gone lie this got me confused

step-by-step explanation:

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.