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
For solving this let us take
Further solving we get,
Therefore,
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