For the following functions, f and g, determine
(a) f(g(x)) (b) g(f(x))

If f(x) = 9 x^{3} - 2 x + 11 and g(x) = \sqrt[3]{x}, then

(a) f(g(x)) = ;

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

Question

For the following functions, f and g, determine
(a) f(g(x))   (b) g(f(x))

If f(x) = 9 x^{3} - 2 x + 11 and g(x) = \sqrt[3]{x}, then

(a) f(g(x)) = ;

(b) g(f(x)) = .

nottim · Answer

Ok. So lets start with (a) here.

anonymous · Answer

ok

nottim · Answer

f(g(x)) =
We see that its f(x) as its "basis"/ the base of the entire equation. And with the info provided, its f(x) = 9 x^{3} - 2 x + 11

nottim · Answer

So, now theres a g(x) where x would be in f(x)=9 x^{3} - 2 x + 11

anonymous · Answer

ok

nottim · Answer

So, x=\sqrt[3]{x} in f(x) = 9 x^{3} - 2 x + 11. Let's sub those in, ok?

nottim · Answer

Can you do that for me?

anonymous · Answer

ill try

nottim · Answer

Once you figure that out, you should be able to continue simplifying, without need of assistance.

anonymous · Answer

ok i got it

anonymous · Answer

9x-2x^(1/3)+11 = a and (9x^3-2x+11)^(1/3) = b/ thanks

nottim · Answer

Uh. That's confusing to read...but all right. IF you need help again, just say it here. I'll come if I can.