The function y = f(x) = x^2 - 6 is plotted along with its inverse function y = f^{-1}(x) , where essentially the x & y axis are interchanged. These…
The functionis plotted along with its inverse function, where essentially the x & y axis are interchanged. These two curves will intersect at:
Select an option to attempt
Correct Answer: Option D
Explanation
Finding intersections ofand its inverse:A function and its inverse intersect along the line. Solve:Factorise:orCheck:✔;✔Intersection points:and.Note:is valid only if it lies in the domain of the inverse function. Sinceis defined for(ashas minimum −6),is valid.Answer:and(Option 4).