Most Important Selected Qs for JEE AdvancedMathematicsInverse Trigonometric Functions

Let f: R R, f(x)= ⁻¹ ( 1-x^2 1+x^2 )+ ⁻¹ ( 2 x 1+x^2 ) If the value of f( 3 )+f(- 2)+f(1)+f( 3) is equal to k (k W) , then find the value of k .

Correct answer

Step-by-step solution

aligned & f(x)= ⁻¹ ( 1-x^2 1+x^2 )+ ⁻¹ ( 2 x 1+x^2 ) & f(x)= [ array cc - -4 ⁻¹ x, & x < -1 0, & -1 x < 0 4 ⁻¹ x, & 0 x < 1 , & 1 x array . aligned f( 3 )+f(- 2)+f(1)+f( 3)= +0+ + =3

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