NDA2019MathematicsFunctionsActual
A function f defined by f ( x )= ( x^2+1 -x ) is
Options
- Aan even function
- Ban odd function
- CBoth even and odd function
- DNeither even nor odd function
Correct answer
D. Neither even nor odd function
Step-by-step solution
f(x)= ( x^2+1 -x ) aligned & f(-x)= ( (-x)^2+1 -(-x) ) & = ( x^2+1 +x ) & = ( ( x^2+1 +x ) ( x^2+1 -x ) x^2+1 -x ) & = ( x^2+1-x^2 x^2+1 -x ) & = ( 1 x^2+1 -x ) & =- ( x^2+1 -x ) & =- f ( x ) aligned So, f ( x ) is odd function.