Question

f(x)=3x+2 g(x)=7x+6 find f*g and its domain

Answer 1

is it 21x+12? and how do i find domain?

Answer 2

So your domain isnt restricted by any value of x.

Answer 3

i'm not sure what you mean

Answer 4

im guessing no

Answer 5

Do you remember FOIL?

Answer 6

first outside inside last

Answer 7

Apply that to \[(3x+2)(7x+6)\]

Answer 8

domain means all possible x values for which the function is defined.

Answer 9

21x^2+32x+12?

Answer 10

Yes that is the correct expansion.

Answer 11

Now both of the parent functions that you initially had were continuous on \[(-\infty,\infty)\]
If you multiply two functions which are continuous generally you will result with a continuous function with a domain also being
\[(-\infty,\infty)\]

Answer 12

so the domain is -infinity to infinity?