Maths-
General
Easy

Question

If f:R->R be a function whose inverse is (𝑥+5)/3 , then what is the value of f(x)

Hint:

The inverse function returns the original value for which a function gave the output. If you consider functions, f and g are inverse, f(g(x)) = g(f(x)) = x. A function that consists of its inverse fetches the original value. Example: f(x) = 2x + 5 = y. Then, g(y) = (y-5)/2 = x is the inverse of f(x).

The correct answer is: 3x – 5


    We have given that inverse of the function f(x)

    f-1(x) = (x+5)/3
    For solving this let us take

    y = f-1(x)

    y = (x+5)/3
    Further solving we get,

    x = 3y – 5

    f(y) = 3y – 5
    Therefore,

    f(x) = 3x – 5

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