Question

Consider the functions f(x) = (x^2-9)/ (x-3) and g(x)= x-2. Then f(g(x))=0 when x=
A. -3
B. -1
C. -3 and 3
D. -1 and 5
E. -3,2 and 3

Answer 1

ok, so first, what does f(g(x)) mean? can you write out what eq that gives us?

Answer 2

"f" and "g" are both functions. In function notation, the stuff inside the parentheses is just a placeholder, so you can put anything in there that you like, provided you use the same placeholder on the right side.

Answer 3

ok, uhm half right. this is called a composition of functions. Have you heard that before?

Answer 4

it could be written \((f \circ g)(x)\)

Answer 5

(f∘g)(x)=0 specifically