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Question 851111: let f(x)=3x^3 and g(x)=1/3x
then f(g(5x+9)) = ....
how do I solve this.
Answer by josgarithmetic(39613)   (Show Source):
You can put this solution on YOUR website! That is the composition of f of g of something. In text form, g(x) might be unclear. g(x) as you show, could be 1/3, then multiplied by x.
In either case, you have two methods.
One way: Put 5x+9 into g(x) and simplify.
Put this result into f(x), and again simplify.
Another way: Form the composition function of f(g(x)) and simplify this. Now, put 5x+9 in place of x; and simplify the expression.
Do you want to see at least a start for the steps? Clarify exactly which you mean for the definition of g(x); and tell which method described you wish to use.
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