Question

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

A. 6x2 + 4x + 42; all real numbers except x = ­2/3

B. 21x2 +32x + 12; all real numbers except x = -6/7

C. 6x2 + 4x + 42; all real numbers

D. 21x2 + 32x + 12; all real numbers

Answer 1

A. 6x2 + 4x + 42; all real numbers except x = ­2/3

Explanation:

this is all i got ok

Answer 2

The answer is the option D

`21x^(2)+32x+12` ; All real numbers

Explanation:

we have

`f(x) = 3x + 2`

`g(x) =7x + 6`

Calculate f(x)*g(x)

`(3x + 2)*(7x+6)`

Multiply applying the distributive property

`(3x + 2)*(7x+6)=3x*7x+3x*6+2*7x+2*6\\=21x^(2)+18x+14x+12\\=21x^(2)+32x+12`

The domain of the function is the interval------> (-∞,∞)

All real numbers