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