NEST2021MathematicsSets and Relations
Let f: X Y be a function. If P X and Q Y , define f(P)= f(x): x P and f⁻¹(Q)= x: f(x) Q . Then the true statement/statements is/ are
Options
- Af⁻¹(Q) f⁻¹(R)=f⁻¹(Q R)
- Bf (f⁻¹(Q) )=Q
- Cf⁻¹(Q) f⁻¹(R)=f⁻¹(Q R)
- Df⁻¹(f(P))=P
Correct answer
C. f⁻¹(Q) f⁻¹(R)=f⁻¹(Q R)
Step-by-step solution
No solution available.