Find the symbolic representation of f^{-1}(x) Given: The given fun

Nannie Mack

Nannie Mack

Answered question

2021-09-18

Find the symbolic representation of f1(x)
Given:
The given function is:
f(x)=2x

Answer & Explanation

SchepperJ

SchepperJ

Skilled2021-09-19Added 96 answers

Calculations: 
Plugging f(x) as y we get: 
y=2x 
If we replace each x with y and each y with x, we obtain:
x=2y 
Now we solve for y. 
If we multiply both sides reciprocally, we get:
1x=12y 
1x=y2 
Multiplying both sides with 2, we get: 
2x=y2(2) 
2x=y 
Squaring both sides, we get 
(2x)2=(y)2 
22x2=y12×2 
4x2=y 
Replacing y by f1(x), we get: 
y=f1(x) 
f1(x)=4x2 
Conclusion 
Inverse function of 2x is 4x2.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?