Let f(x)=2x+-5 and g(x)=3x+-5. Find (f∘g)(-3).
Note
For a composition, work from the inside to the outside. That means evaluate g(x) first, then use that result as the input of f. Here, Composition means f(g(x)). First g(-3)=3(-3)- 5=-14; then f(g(-3))=2(-14)- 5=-33. This is why the final value of (f∘g) is obtained only after the second substitution, not after finding g alone.
