Question

Let f(x) = 3x^2-x+2 and g(x) = 5x^2-1. Find f(g(x)). Show each step of your work.

Answer 1

Show me what you think is the answer.

Answer 2

I know how to set it up to solve it, and if it were a regular equation without variables like "7(3x+10)" I know I would have to distribute the 7 but when I set up my problem I'm not sure how I would distribute, or what the first step would be. @BIue

Answer 3

So if I set it up it would look like (3x^2-x+2)(5x^2-1). If I distribute like regular I would get 15x^4-3x^2-5x^3+x+10x^2-2. Then I would simplify, correct? @BIue

Answer 4

Then after I simplify that, I got 15x^4-5x^3+7x^2+x-2. Would that be my final answer? @BIue

Answer 5

what you are setting up would be correct to find f* g but this question is different .

Answer 6

f(g(x)) means use g(x) as your x in the f(x)