Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School Fermi › Problems Let is defined by Then the possible values of 'k' for which g is surjective function
MATHEMATICS · Single correct · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions
Problem Let g : R → [ 0 , π 3 ] g: R \to \left[0, \frac{\pi}{3}\right] g : R → [ 0 , 3 π ] g ( x ) = cos − 1 ( x 2 − k 1 + x 2 ) g(x) = \cos^{-1}\left(\frac{x^2-k}{1+x^2}\right) g ( x ) = cos − 1 ( 1 + x 2 x 2 − k ) { 1 2 } \left\{\frac{1}{2}\right\} { 2 1 } [ − 1 , − 1 2 ] \left[-1, -\frac{1}{2}\right] [ − 1 , − 2 1 ] { − 1 2 } \left\{-\frac{1}{2}\right\} { − 2 1 } [ − 1 2 , 1 ] \left[-\frac{1}{2}, 1\right] [ − 2 1 , 1 ] Browse the problem library