Help I will attached the file because I can not do it on here.. please open it & help me I tried bt I am confused

Question

anonymous · Answer

attachment

directrix · Answer

f composite g can be written as f of g(x) or f(g(x).

Look at f(x) = 3x. F takes whatever is within the parenthesis and multiples that by 3. So x goes into f and 3x comes out.

directrix · Answer

F is going to do the same thing to G.
f(g(x) = f(2x^2 - 3x + 6).

So f takes (2x^2 - 3x + 6) and multiplies the entire "thing" by 3.

So, f(g(x) = 3 (2x^2 - 3x + 6).

@Talyababyy   Your Task:

Multiply this out: 3 (2x^2 - 3x + 6)

anonymous · Answer

15??

directrix · Answer

I do not see any numerical values of x given in the problem.

So, 3 (2x^2 - 3x + 6) = 3 times 2x^2 plus 3 times negative x plus 3 times 6 according to the Distributive Property.

directrix · Answer

6x^2 - 9x + 18 = f(g(x)  Check that work.

15?? --> How did you get that? @Talyababyy