70AE

Step by step solution Step 1 of 3 Determine the symmetry of function O °O, if O is odd function. Step 2 of 3 Suppose that fun ction (x) is (x)°O(x). Let’s find the valu e of (-x): g(x)=O(x) O(°) Since O(x) O(°) is O(O(x))than g(x) = O(O(x)) g(- )=O(O(x))......(1) O(x) is odd, therefore O (-x)=-O(x). Based on this, relation (1) becomes: g(-x)=O(O(x)) g(-x)=O(O(x)) g(-x)=O(O(x)) It is obvious that g(x) =g(x). Thus the function O(x) O(x) is odd and has symmetry about origin. ° Also we can say that the ranges of inner and outer functions contain both positive and negative real numbers.