17 The function f is defined by
$$\mathrm { f } ( x ) = | x | + 1 \text { for } x \in \mathbb { R }$$
The function g is defined by
$$g ( x ) = \ln x$$
where g has its greatest possible domain.
17
- Using set notation, state the range of f
17
- State the domain of g
17 - The composite function h is given by
$$\mathrm { h } ( x ) = \operatorname { gf } ( x ) \text { for } x \in \mathbb { R }$$
17
- Write down an expression for \(\mathrm { h } ( x )\) in terms of \(x\)
17
- (ii) Determine if h has an inverse.
Fully justify your answer.
[0pt]
[2 marks]