Would someone please help me see how to work out the problem f/g, when f(x) = square root of 3-x, and g(x) = square root of x^2-1 please? and I need to figure out the domain. Thank you

Question

anonymous · Answer

Well, from where to where do this mappings go? Are they supposed to map from the real numbers into the real numbers?

anonymous · Answer

In addition, I suppose by square root you only mean the positive root? Else those aren't functions

anonymous · Answer

domain is R-{-1,1},i.e all real numbers except {-1,1}

anonymous · Answer

brackets must be ( ),,sorry

anonymous · Answer

first of all g(x) must be not equal to zero,and sqrt must not be negative value as then sqrt will be undefined..therefore work out the the in equality x^2-1>0
whis is modified as (x-1)(x+1)>0.

anonymous · Answer

that's not true. what if x > 3? Then we have a square root of a negative number.

anonymous · Answer

sorry i forgot to take the upper one into consideration ,the answer will be (-inf,-1)U(1,3]