Question: #2: If \(f\left( x \right)=\frac{3x+1}{x-2}\), for \(x\ne 2\), find:

(a) \(\frac{5f\left( -1 \right)-2f\left( 0 \right)+3f\left( 5 \right)}{6}\)

(b) \({{\left[ f\left( -\frac{1}{2} \right) \right]}^{2}}\)

(c) \(f\left( 2x-3 \right)\)

(d) \(f\left( x \right)+f\left( \frac{4}{x} \right),\,\,\,x\ne 0\)

(e) \(\frac{f\left( h \right)-f\left( 0 \right)}{h},\,\,\,h\ne 0\)

(f) \(f\left[ f\left[ x \right] \right]\)