Saved Bookmarks
| 1. |
Find the domain and range of the function f : R ⟶ R such that f(x) = x2 + 1. |
|
Answer» We have function f(x) = x2 + 1 on set R. We can clearly seen that the function is defined for all real values of x. Therefore, the domain of the function f(x) is R. Let x ∈ . Then, x2 ≥ 0. ⇒ x2 + 1 ≥ 1.(By adding 1 both sides of inequality) ⇒ f(x) ≥ 1. Therefore, the range of the function f(x) is [1, ∞). Hence, the domain of function f(x) is R and the range of the function f(x) is [1, ∞). |
|