Question

What are the domain and range of the function f(x)=^2x+1?
domain: (0, infinity)
range: (-infinity, infinity)
domain: (-inifnity, infinity)
range: (0, infinity))
domain:(- infinity, infinity)
range:(2, infinity)
domain: (0, infinity)
range: (2 , infinity)

Answer 1

I'm not sure how to read "f(x)=^2x+1". Could you confirm the intended expression? Common interpretations and their domains/ranges:

- f(x) = x^2 + 1
- Domain: (-∞, ∞)
- Range: [1, ∞)

- f(x) = 2^x + 1
- Domain: (-∞, ∞)
- Range: (1, ∞)

- f(x) = √(2x + 1)
- Domain: x ≥ -1/2 → [-1/2, ∞)
- Range: [0, ∞)

- f(x) = √x + 1
- Domain: [0, ∞)
- Range: [1, ∞)

- f(x) = 2x + 1
- Domain: (-∞, ∞)
- Range: (-∞, ∞)

Which one did you mean? If you paste the function using parentheses and common symbols (sqrt(), ^ for power, etc.) I’ll give the exact domain and range and pick the matching choice.