well you did the right thing in factorising the bottom line. The function is not defined if the denominator is 0
=> f(x) not defined at
=> not defined and
List the values at which the function
Is not defined.
This question does not have an answer in my text book so I cannot deduce where I have gone wrong, though actually I haven't gotten anywhere...just staring at it and repeating it to myself. I've tried factorising it out, but that doesn't work see (x+3)(x-3)..... must be a positive number right?
. Note that and hence over the real numbers.
This means there are no real values of x for which f(x) is undefined.
There are complex ones though: and it's conjugate . This comes from solving over the complex numbers.
Rewrite f(x) in terms of i (where )
The difference of two squares can now be used