\(f(x)=3x+2,\quad g(x)=x^2+1,\quad h(x)=4^x\).

(a) Find h(4). [1]

(b) Find fg(1). [2]

(c) Find gf(x) in expanded form. [3]

(d) Find x when f(x) = g(7). [2]

(e) Find \(f^{-1}(x)\). [2]

(f) Write \(\frac{g(x)}{f(x)}+x\) as one simplest fraction. [3]

(g) Find x when \(h^{-1}(x)=2\). [1]