Question

"2. Let \\( f: R \\rightarrow R \\) be a function is defined as \\( f ( x ) = \\frac { e ^ { x ^ { 2 } } - e ^ { - x ^ { 2 } } } { e ^ { x ^ { 2 } } + e ^ { - x ^ { 2 } } } \\)\n\\( \\begin{array} { l l } { \\text { (a) } f \\text { is one-one but not onto } } & { \\text { (b) } f \\text { is one-one onto } } \\\\ { \\text { (c) } f \\text { is neither one-one nor onto } } & { \\text { (d) } f \\text { is many one onto. } } \\\\ { \\text { If } f \\cdot R \\rightarrow R \\text { be given by } f ( x ) - ( 3 - x ) ^ { 3 } + 2 ^ { \\frac { 1 } { 3 } } \\text { then } ( \\text { for } x \\text { is. } } \\end{array} \\)"

Answer 1