write the composition (f ∘ g)(x) of the given functions: f(x)=x^2 + 2x -6 and g(x) = x + 5

Answer 1

These used to really confuse me!

So, if I asked you to find f(2), we'd replace every x with 2, right?

2² + 2(2) - 6

Another way to write (f•g)(x) is f(g(x)), sooooo, every x in f(x) is going to be replaced with g(x), aka x + 5 in this case.

f(g(x)) = (x + 5)² + 2(x + 5) - 6

Hope this helps!

Answer 2

f o g (x) = (x + 5)² + 2(x + 5) + 6