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

Answer:

The answer is the option D

$21x^{2}+32x+12$ ; All real numbers

Step-by-step 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

Answer 2

Answer:

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

Step-by-step explanation:

this is all i got ok