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MATHEMATICS

JAMB 2002 - Question 21

Mathematics 2002 JAMB Past Questions - Question 21: The inverse of the function f(x)=3x+4 is

The 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)

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Correct Answer

Explanation

To find the inverse of the function f(x) = 3x + 4, we can follow these steps:1. Replace f(x) with y: y = 3x + 4.2. Swap the x and y variables: x = 3y + 4.3. Solve the equation for y: x - 4 = 3y.4. Divide both sides by 3: (x - 4) / 3 = y.5. Replace y with f^(-1)(x): f^(-1)(x) = (x - 4) / 3.Therefore, the inverse of the function f(x) = 3x + 4 is f^(-1)(x) = (x - 4) / 3.