Let f(x) = x 2 and g(x) = sinx for all x ? R. Then the set of all x satisfying (f o g o g o f) (x) = (g o g o f) (x), where (f o g) (x) = f(g(x)), is ?

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Let f(x) = x 2 and g(x) = sinx for all x ? R. Then the set of all x satisfying (f o g o g o f) (x) = (g o g o f) (x), where (f o g) (x) = f(g(x)), is ?

Let f(x) = x 2 and g(x) = sinx for all x ? R. Then the set of all x satisfying (f o g o g o f) (x) = (g o g o f) (x), where (f o g) (x) = f(g(x)), is ?

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Let f(x) = x 2 and g(x) = sinx for all x ? R. Then the set of all x satisfying (f o g o g o f) (x) = (g o g o f) (x), where (f o g) (x) = f(g(x)), is ?

Let f(x) = x 2 and g(x) = sinx for all x ? R. Then the set of all x satisfying (f o g o g o f) (x) = (g o g o f) (x), where (f o g) (x) = f(g(x)), is ?

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