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 Answer
Step 1: To find f^-1(3), we need to find the value of x for which f(x) = 3. Set the given function equal to 3: (2x+1)/(x-3) = 3 Step 2: Multiply both sides by (x-3) to eliminate the denominator. 2x+1 = 3(x-3) Step 3: Distribute the 3 on the right side of the equation. 2x+1 = 3x - 9 Step 4: Isolate x by moving all x terms to one side and constant terms to the other. Subtract 2x from both sides: 1 = 3x - 2x - 9 1 = x - 9 Add 9 to both sides: 1 + 9 = x x = 10 Therefore, f^-1(3) = 10. The final answer is 10. That's 2 down. 3 left today — send the next one.