CA Foundation P3 · Chapter 7 · Question 5 of 9
The inverse of the function f(x) = (3x − 5)/2 is:
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: A) f⁻¹(x) = (2x + 5)/3
Explanation
Let y = (3x − 5)/2. Then 2y = 3x − 5, so x = (2y + 5)/3. Interchanging, f⁻¹(x) = (2x + 5)/3. Check: f(f⁻¹(x)) = (2x + 5 − 5)/2 = x. Note that 1/f(x) is not the inverse function.
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