SOLUTION: Let f(x) = 3x + 2 and g(x) = 7x + 6 of f*g. Then describe the domain of f*g (isn't it all real numbers) And what about this one: Let f(x) = 3x - 6 and g(x) = x - 2. Find

Algebra ->  Functions -> SOLUTION: Let f(x) = 3x + 2 and g(x) = 7x + 6 of f*g. Then describe the domain of f*g (isn't it all real numbers) And what about this one: Let f(x) = 3x - 6 and g(x) = x - 2. Find       Log On


   

Question 478871: Let f(x) = 3x + 2 and g(x) = 7x + 6 of f*g.
Then describe the domain of f*g (isn't it all real numbers)
And what about this one:

Let f(x) = 3x - 6 and g(x) = x - 2. Find f/g.
Then describe the domain of f/g.
Thanks in advance!
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

f(x) = 3x + 2 and g(x) = 7x + 6 

 f*g = (3x+2)(7x+6) =  21x^2 + 32x + 12  |Yes, domain is all real numbers



 f(x) = 3x - 6 and g(x) = x - 2

 f/g = (3x-6)/(x-2)    |Domain is all real numbers, except x = 2

      CANNOT divide by zero