7 The function f is defined by
$$\mathrm { f } ( x ) = \frac { a x - 5 } { 2 x + b } \quad x \in \mathbb { R } , x \neq \frac { 9 } { 2 }$$
where \(a\) and \(b\) are integers.
The graph of \(y = \mathrm { f } ( x )\) has asymptotes \(x = \frac { 9 } { 2 }\) and \(y = 3\)
7
- Find the value of \(a\) and the value of \(b\)
7 - Solve the inequality
$$\mathrm { f } ( x ) \leq x + 2$$
Fully justify your answer.