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If f(x) =2x−15x−2,x≠25 Verify whether (fof) (x) = x - Mathematics and Statistics

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Sum

If f(x) =` (2x−1)/ (5x−2) , x ≠ 2/5` Verify whether (fof) (x) = x

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Solution

(fof) (x) = f(f(x))

= `"f" ((2x-1)/(5x-2))`

= `(2((2x-1)/(5x-2))-1)/(5((2x-1)/(5x-2))-2)`

= `(("4x" - 2 - 5"x" + 2)/(5"x" - 2))/((10"x" - 5 - 10"x" + 4)/(5"x" - 2))`

= `(4x-2-5x+2)/(10x-5-10x+4)`

= `(-x)/(-1)`

= x

Concept: Concept of Functions
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APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board
Chapter 2 Functions
Miscellaneous Exercise 2 | Q 8 | Page 32
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