Given that the value range of function FX = ㏑ (X & # 178; + 1) is (0, 1, 2), then the number of functions satisfying this condition?

Given that the value range of function FX = ㏑ (X & # 178; + 1) is (0, 1, 2), then the number of functions satisfying this condition?

Solving ln (X & # 178; + 1) = 0, we get: x = 0, solving ln (X & # 178; + 1) = 1, we get: x = ± √ (E-1) solving ln (X & # 178; + 1) = 2, we get: x = ± √ (E & # 178; - 1) so the definition field must contain at least one element in each set {0}, {± √ (E-1)}, {± √ (E & # 178; - 1)}