Answer :
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]
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]
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]