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Function f(x) = (4x + 3)/(5x - 2). Find $f^{-1}$.

written 8.2 years ago by teamques10 ★ 69k

modified 3.1 years ago by pedsangini276 • 4.8k

Mumbai University > Computer Engineering > Sem 3 > Discrete Structures

Marks: 5 Marks

Year: May 2014

discrete mathematics

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1 Answer

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written 8.2 years ago by teamques10 ★ 69k

Step1: Replace f(x) by y

$$y=(4x + 3)/(5x - 2)$$ Step2: Solve for x $$y = (4x + 3)/(5x - 2) - \gt x=(2y+3)/(5y-4)$$ Step3: Replace x by $f^{-1}(x)$ and y by x: $$f^{-1}(x) = (2x+3)/(5x-4)$$

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