Answer:
Correct option is:
\(f^{-1}(x)=\dfrac{x}{5}\)
Step-by-step explanation:
Let f(x)=y
Then, \(f^{-1}(y)=x\)
Hence, Value of x in terms of y gives the value of \(f^{-1}(x)\)
f(x)=y
i.e. 5x=y
i.e. x=y/5
Hence, \(f^{-1}(y)=\dfrac{y}{5}\)
Replacing y by x, we get
\(f^{-1}(x)=\dfrac{x}{5}\)
Hence, correct option is:
\(f^{-1}(x)=\dfrac{x}{5}\)
