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The graph of y = f(x) is shown, find the...

The graph of y = f(x) is shown, find the number of solution of f(f(x)) = 2.
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Text Solution

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Given equation if f(f(x)) = 2.
Let f(x) = t
` :. F(t) = 2`
`:. T = -3, 1/2, 3`
Now, f(x) =- 3 has no solution
` f(x) = 1/2 ` has two solutions
f(x) = 3 has one solution
Hence total number of solutions is three.
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