Answer:
The required inverse of the function f(x) is :
[tex]f^{-1}(x)=\frac{x}{4}[/tex]
Step-by-step explanation:
The function is given to be f(x) = 4x
To find the inverse first take f(x) as y and equate it equal to the 4x
Now, let y = 4x
Now, interchange the places of x and y
⇒ x = 4y
Then solve for the value of y and the obtained value of y is the required inverse of the given function f(x)
[tex]\frac{x}{4}=y\\\\\implies f^{-1}(x)=\frac{x}{4}[/tex]
Hence, The required inverse of the function f(x) is :
[tex]f^{-1}(x)=\frac{x}{4}[/tex]