The domain for f(x) and g(x) is the set of all real numbers. let f(x) = 2x^2 + x − 3 and g(x) = x + 2. find (f • g)(x).

Hi, here is the solution...

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

(f.g)(x) = f(x). g(x)

= (2 + x - 3) *(x + 2)

Now use the distributive property, we get

= (2 + x  - 3)x + 2(2+x -3)

= 2+ -3x + 4 + 2x - 6

Now combine the like terms.

= 2 +5-1x -6                             [-3x +2x = -1x = -x]

(f.g)(x) =  2+5-x -6

That's it. Thank you :)

it is a. 4.2 because 7.6-3.4 gets the remaining length of 4.2. i might be wrong but i am pretty sure this is the answer.