Determine f^-1(x) in the form y = ext... for the function f(x) = -x2 with domain x ext in [-2, 3].

May 13, 2026Mathematics

ScanSolve AI Answer

May 13, 2026

Answer

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Here's the solution for Question 2.2.

Question 2.2.1

Determine $f^{-1}(x)$ in the form $y = \dots$

Given the function $f(x) = -x^2$ with domain $x \in [-2, 3]$ .

Step 1: Replace $f(x)$ with $y$ . $y = -x^2$

Step 2: Swap $x$ and $y$ to find the inverse relation. $x = -y^2$

Step 3: Solve for $y$ . $y^2 = -x$ $y = \pm\sqrt{-x}$

Step 4: Determine the domain and range of $f^{-

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Here's the solution for Question 2.2. Question 2.2.1 Determine f^-1(x) in the form y = Given the function f(x) = -x^2 with domain x [-2, 3].

Asked on May 13, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 13, 2026

Here's the solution for Question 2.2. Question 2.2.1 Determine f^-1(x) in the form y = Given the function f(x) = -x^2 with domain x [-2, 3]. Step 1: Replace f(x) with y. y = -x^2 Step 2: Swap x and y to find the inverse relation. x = -y^2 Step 3: Solve for y. y^2 = -x y = ±sqrt(-x) Step 4: Determine the domain and range of $f^-