Originally Posted by

**federer** (a)

Let f(x) = |x - 2|, g(x) = √x (square root of x) and h(x) = x^-1 (x to the power of -1).

Find the following COMPOSITIONS and state their DOMAIN in INTERVAL NOTATION:

(i) f ○ g

(ii) h ○ g

(iii) (h ○ g) ○ f

(b)

Let f(x) = 1 ÷ sin(x + π).

Express f(x) as a COMPOSITIONS of three functions (in the right order!) and state the DOMAIN of f in SET NOTATION.

The question asks part (a) compostion & domain in interval notation.

Part (b) asks composition & domain in set notation.

{ } ∩ U ] [ ( ) | ≤ ≥ ∞ Є ÷ ○ π