Let f: R → R be defined as f(x) = 2x + 3. The inverse function f⁻¹(x) is: A. 2x − 3 B. (x − 3)/2 C. (x + 3)/2 D. 1/(2x + 3) Answer: B) (x − 3)/2 Explanation: Let y = 2x + 3. Solving for x, we get 2x = y − 3 → x = (y − 3)/2. So, f⁻¹(x) = (x − 3)/2.

imo class 12 relations and functions

Let f: R → R be defined as f(x) = 2x + 3. The inverse function f⁻¹(x) is:

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Let f: R → R be defined as f(x) = 2x + 3. The inverse function f⁻¹(x) is:

Answer: B) (x − 3)/2

Explanation: Let y = 2x + 3. Solving for x, we get 2x = y − 3 → x = (y − 3)/2. So, f⁻¹(x) = (x − 3)/2.