Question

College Algebra hw!!! Help please due tomorrow ...

Answer 1

(f ∘ g)(-2) = 7

Explanation:

Given:

`f(x)=2x-3\\g(x)=-x+3`

The problem (49) is asking "What is f of g of x?" In simpler terms, we need to find
`g(-2)` and put that answer into
`f(x)`. Let's start by plugging in -2 to
`g(x)`.

`g(-2)=-(-2)+3\\g(-2)=2+3\\g(-2)=5`

We have now found out what
`g(-2)` is. We now have to input the answer we just got into
`f(x)` and solve for
`x`.

`f(5)=2(5)-3\\f(5)=10-3\\f(5)=7`

So our final answer would be:

(f ∘ g)(-2) = 7