Hi
This is due to the exponent 3/2
To get a rational function you must have only integer exponents
The question asks "State whether the function is a polynomial, a rational function (but not a polynomial), or neither."
This is the function:
It looks rational, but apparently the answer is 'neither'. Why is this the case? Thanks.
Some examples
is NOT a polynomial
is a polynomial
is NOT a rational function
is a rational function
Now a more tricky example
is a rational function
But since is equal to 0 when x=1, you can factor out x-1
Therefore which is a polynomial
Actually and are not totally equal since the first one is defined for all real except 1 whereas the second one is defined for all real
The 2 functions are equal except on x=1