Question
Asked Sep 29, 2019
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Find the inverse of f(x)=3x−5/5x−2

 

f−1(x)=
 
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Expert Answer

Step 1

The way you have written f(x), it has many intepretation. I am using the interpretation of f(x) as shown on the white board.

Approach:

  • Let y = f(x); Solve for x in terms of y. 
  • Substitute x = y in that expression to get the inverse of f(x)
Зх — 5
f(г)
5л — 2
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Зх — 5 f(г) 5л — 2

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Step 2

y = (3x - 5) / (5x - 2); Hence, 5xy - 2y = 3x - 5

Hence, 5xy ...

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Tagged in

Math

Calculus

Functions