Properties of Inverse Function
Trending Questions
Q. Let f:R→R be defined by f(x)=x2−3x−6x2+2x+4. Then which of the following statements is(are) TRUE?
- f is decreasing in the interval (−2, −1)
- f is increasing in the interval (1, 2)
- f is onto
- Range of f is [−32, 2]
Q.
The number of roots of the equation, in the interval is equal to
Q. Let f:A→B and g:B→A be two functions such that gof=IA anf fog=IB. Then, which of the following statement/s is/are true?
- (f−1)−1=f
- (gof)−1=f−1og−1
- f and g are bijections
- g=f−1