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

^{-1}(x) = (x+5)/3

For solving this let us take

^{-1}(x)

Further solving we get,

Therefore,