NDA2017MathematicsFunctionsActual
If f( x )= x x -1 , then what is f( a ) f( a +1) equal to?
Options
- Af (- a a +1 )
- Bf ( a ^2 )
- Cf ( 1 a )
- Df(- a )
Correct answer
B. f ( a ^2 )
Step-by-step solution
aligned & f(x)= x x-1 & f(a)= a a-1 & f(a+1)= a+1 a+1-1 = a+1 a & f(a) f(a+1) = a a-1 a+1 a = a^2 a^2-1 & f (a^2 )= a^2 a^2-1 aligned