Let f(x) + f(y) = f (x √ (1-y 2 ) + y √ (1-x 2 ) ) . Find the value of f (4x 3 – 3x ) + 3f(x) .

Question

Let f(x) + f(y) = f (x &radic; (1-y 2 ) + y &radic; (1-x 2 ) ) . Find the value of f (4x 3 &ndash; 3x ) + 3f(x) .

Chetan Mandayam Nayakar · Answer

f(x)=sin -1 (x),f(y)=sin -1 (y), and so on... 3f(x)=3sin -1 (x) f(4x 3 -3x)=f(cos(3cos -1 (x)))

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Let f(x) + f(y) = f (x √ (1-y 2 ) + y √ (1-x 2 ) ) . Find the value of f (4x 3 – 3x ) + 3f(x) .

Let f(x) + f(y) = f (x √(1-y²) + y √(1-x²) ) . Find the value of f (4x³– 3x ) + 3f(x) .

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Let f(x) + f(y) = f (x √ (1-y 2 ) + y √ (1-x 2 ) ) . Find the value of f (4x 3 – 3x ) + 3f(x) .

Let f(x) + f(y) = f (x √(1-y2) + y √(1-x2) ) . Find the value of f (4x3 – 3x ) + 3f(x) .

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Let f(x) + f(y) = f (x √(1-y²) + y √(1-x²) ) . Find the value of f (4x³– 3x ) + 3f(x) .