Regarding the linearity issue:
Usually when you have a potentiometer to set the output voltage you want the voltage to change in a linear fashion as you turn the pot clockwise.
Vout = k x rotation angle, where k is some constant and rotation angle is the fraction of the pot's total rotation angle
With the LM317, unless you add an extra negative supply for the adjustment voltage, you can't set the output to less than the difference between the adjustment pin and the output pin, which is fixed at nominally 1.25 V. Our equation now becomes
Vout = 1.25 + (k x rotation angle)
This still is not too bad, because the increase in voltage is linear as you turn the pot - or at least that is what you would like to have happen.
Try calculating the output voltage of the LM317 (just ignore the current boost parts) with the circuit as you have shown it with the potentiometer at 1/4, 1/2, 3/4 and full rotation. Then try the same calculations with the fixed resistor removed and a 1.5k pot, which is what the parallel combination of the 4.7k pot and 2.2k fixed resistor yields.
Protecting against overcurrent with a fuse:
Fuses take time to blow and it is often nearly impossible to select a fuse that will blow fast enough to protect semiconductor devices from damaging overcurrent. When you need to do something like allowing a large capacitor to charge it becomes much more difficult. Electronic current limiting is far superior, but more complex. The fuse then becomes something that will protect against fire or such severe damage to the circuit board (burned copper tracks, for example) that you can't repair it. Most semiconductor devices will fail short-circuit if subjected to damaging overcurrent or overvoltage, at least initially. If enough power is available, the shorted device may then fail open circuit (in an IC, the fine "bonding wires" that connect the actual semiconductor die to the package leads may act like fuses; high power devices sometimes will practically explode). A shorted voltage regulator is usually a very bad thing because it will lead to other things in the circuit being damaged due to excessive voltage.
Things like high power rectifier diodes and thyristors may be protectable with fuses, but the fuses required can be really expensive.
Usually when you have a potentiometer to set the output voltage you want the voltage to change in a linear fashion as you turn the pot clockwise.
Vout = k x rotation angle, where k is some constant and rotation angle is the fraction of the pot's total rotation angle
With the LM317, unless you add an extra negative supply for the adjustment voltage, you can't set the output to less than the difference between the adjustment pin and the output pin, which is fixed at nominally 1.25 V. Our equation now becomes
Vout = 1.25 + (k x rotation angle)
This still is not too bad, because the increase in voltage is linear as you turn the pot - or at least that is what you would like to have happen.
Try calculating the output voltage of the LM317 (just ignore the current boost parts) with the circuit as you have shown it with the potentiometer at 1/4, 1/2, 3/4 and full rotation. Then try the same calculations with the fixed resistor removed and a 1.5k pot, which is what the parallel combination of the 4.7k pot and 2.2k fixed resistor yields.
Protecting against overcurrent with a fuse:
Fuses take time to blow and it is often nearly impossible to select a fuse that will blow fast enough to protect semiconductor devices from damaging overcurrent. When you need to do something like allowing a large capacitor to charge it becomes much more difficult. Electronic current limiting is far superior, but more complex. The fuse then becomes something that will protect against fire or such severe damage to the circuit board (burned copper tracks, for example) that you can't repair it. Most semiconductor devices will fail short-circuit if subjected to damaging overcurrent or overvoltage, at least initially. If enough power is available, the shorted device may then fail open circuit (in an IC, the fine "bonding wires" that connect the actual semiconductor die to the package leads may act like fuses; high power devices sometimes will practically explode). A shorted voltage regulator is usually a very bad thing because it will lead to other things in the circuit being damaged due to excessive voltage.
Things like high power rectifier diodes and thyristors may be protectable with fuses, but the fuses required can be really expensive.