Answer :
Answer:
f(g(x)) = [tex]\frac{x^{4} }{3} - 12x^{2} + 8[/tex]
g(f(x)) = [tex]3x^{4} + 30x^{2} +72[/tex]
Step-by-step explanation:
This is a fairly simple idea but long math. How you do this is for the first one you take the function of g(x) and place it instead of the x function of the f(x).
It should look something like this.
f(g(x)) = [tex](3)(\frac{x^{2} }{3} - 9)^{2} + 9[/tex]
Simplifying this equation would yield the answer given above.
I did them by hand, but if you would like get an instant and 100 percent correct answer you can use wolfram alpha.
Hope this helps.