AP EAMCET202318 May 2023Morning ShiftMathematicsFunctionsActual
If A is the domain and B is the range of the function f(x)= array ll 3 x-1, & x>1 x^2+1, & x 1 array . then A-B=
Options
- A(1, )
- B(- , 1)
- CR -(-1,1)
- D(-1,1)
Correct answer
B. (- , 1)
Step-by-step solution
f(x)= cases 3 x-1 & x>1 x^2+1 & x 1 cases Domain is (- , 1] (1, )=(- , )= A When x>1 : f(x)=3 x-1 2 f(x) < and x 1: f ( x )= x ^2+1 1 f ( x ) < . Range B=(1, ) (2, )=[1, ) Now, A-B=(- , )-[1, )=(- , 1)