Question

Which represents the inverse of the function f(x) = 4x?

Answer 1

Ans: Inverse of f(x) is $\frac{x}{4}$

Explanation:

To find the inverse of the function f(x) = 4x, follow these steps:

Step-1:

We can write f(x) as y. Like f(x) = y; therefore,

y = 4x --- (1)

Step-2:

Now replace x with y and y with x of equation (1):

x = 4y --- (2)

Step-3:

Now solve equation (2) for y:

x = 4y

y = $\frac{x}{4}$ --- (3)

Equation (3) represent the inverse of f(x). Hence the inverse of f(x) is $\boxed{\frac{x}{4} }$

Answer 2

Hello, 

we have the function:

f(x)=4x  -->  y= 4x

To find the inverse we have to change "x" by "y" and "y" by "x", as following:

x=4y

Now, we isolate "y":

$y= \frac{x}{4} -->\boxed{f'(x)= \frac{x}{4}}$