Question

Find g(f(x)), given f(x)=3x2−x+1,g(x)=2x

Answer 1

6x²-2x+2

Explanation:

For g(f(x)), we have to first do f(x), and then substitute it into the "x" in g(x)

So, f(x) = 3x²-x+1

We need to substitute the "x" in g(x) with this entire thing

So, g(x) = 2x

When we substitute f(x) into it, it instead becomes 2(3x²-x+1)

Next, we have to expand the brackets, and doing so gives us the following:

6x²-2x+2

So that becomes our final answer!

Let me know if it makes sense! :)