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

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Illuminati750idn
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":

[tex]y= \frac{x}{4} -->\boxed{f'(x)= \frac{x}{4}}[/tex]
IsrarAwanidn

Ans: Inverse of f(x) is [tex] \frac{x}{4} [/tex]

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 = [tex] \frac{x}{4} [/tex] --- (3)

Equation (3) represent the inverse of f(x). Hence the inverse of f(x) is [tex]\boxed{\frac{x}{4} }[/tex]

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