Question

Given f(x)=2x^2+x-3 and g(x)=x-1
a.(f o g)(x)
b.(g o f)(x)

Answer 1

For

a)

You need to "insert" (x-1) everywhere you see an X in f(x). Expand and simplify.

Answer 2

So

(fog)(x)=2(x-1)^2+(x-1)-3

Answer 3

Let me know how it turns out. Then we can do part B.

Answer 4

@onmng314 its correct

Answer 5

Cool.

For (gof)(x)

You need to "insert" 2x^2+x-3 everywhere you see an X in g(x).

Answer 6

Thus,

(gof)(x)=(2x^2+x-3)-1

All we did is "insert" or "substitute" an entire function into another function for X to make a composition.

I think you can finish (gof)(x).

Let me know.