Question 21
Algebraic ExpressionsThe inverse of the function f(x) = 3x + 4 is
- A.(1/3)(x − 4)
- B.(1/5)(x − 5)
- C.(1/4)(x + 3)
- D.(1/3)(x + 4)
Show the answer and explanation
Answer: A ((1/3)(x − 4))
Explanation
Put y = 3x + 4 and solve for x: x = (y − 4)/3. So f−1(x) = (1/3)(x − 4).