Question

A function f: R→ R is defined by f(x) = x². Determine (i) range of f (ii) {x: f(x) = 4} (iii) {y: f(y) = -1}​

Answer 1

Answer:

f (x) = y is the range of the function.

Given, f (x) = 2 (3x)

⇒ f (x) = 6x

The function f (x) is defined for all real numbers. So, the set of real numbers is the domain of this function.

Therefore, the range of the function is also not restricted. The set of real numbers is the range of this function.

⇒ f ( x ) : x → R {x : x ∈ R }

Thus, the domain and the range of the function f (x) = 2 (3x) is (- ∞, ∞).

Step-by-step explanation:

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