Question

Find f(g(x)) when f(x)=5x^3 -2x and g(x)=3x^3 and state the domain

Answer 1

If i remember correctly you plug in that for x,

f(g(x)) = 5(3x^3)^3

Answer 2

^ That is correct. Finding the domain of (fxg)(x) is basically finding the domain of both f(x) and g(x) and seeing which one includes values from both equations.

Answer 3

thats what i came up with but how do you simplify that?

Answer 4

They just asked to write the composition, which is that

Answer 5

it says to perform the indicated operation, does that mean i just leave it like that?