# Composite Function

## Question 01

Functions $$f$$ and $$g$$ are defined by

$$f : x \rightarrow 2x + 1, \: x \in R, \: x > 4$$

$$g : x \rightarrow \sqrt{x}, \: \: x \in R, \: x \geq 0$$

(i) Determine whether composite functions $$fg$$ and $$gf$$ exists

(ii) Determine the composite function at (i), its domain and range