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