69AE

Step by step solution Step 1 of 3 Determine the symmetry of function E E, °f E is even function. Step 2 of 3 Suppose that function g (x) is E(x)°E(x). Let’s find the value of g (-x): g(x)=E(x) E(°) Since E(x) E°x) is E(E(x))than g(x) = E(E(x)) g(-x)=E(E(x))......(1) E(x) is even, therefore E(-x)=E(x) . Based on this, relation (1) becomes: g(-x)=E(E(x)) g(-x)=E(E(x)) It is obvious that g(x) = g(x). Thus the function E(x) E(°) is even and has symmetry about y-axis. Also we can say that the inner and outer functions are same and it is even, so their ranges contain positive real numbers.