If an odd function y = f (x) (x ∈ R) has an inverse function y = F-1 (x), then there must be a point on the image of y = F-1 (x) 8. If an odd function y = f (x) (x ∈ R) has an inverse function y = F-1 (x), then the point on the image of y = F-1 (x) must be A.(-f(a),a) B.(-f(a),-a) C.(-a,f-1(a)) D.(a,f-1(-a)) Why do you go to bed so early

If an odd function y = f (x) (x ∈ R) has an inverse function y = F-1 (x), then there must be a point on the image of y = F-1 (x) 8. If an odd function y = f (x) (x ∈ R) has an inverse function y = F-1 (x), then the point on the image of y = F-1 (x) must be A.(-f(a),a) B.(-f(a),-a) C.(-a,f-1(a)) D.(a,f-1(-a)) Why do you go to bed so early

Choose B
In the image of y = f - (x), it is required to satisfy y = f - (x). Take F on both sides of this formula and change it to f (y) = x, that is to satisfy this formula, because f (x) is an odd function, f (- a) = - f (a) in B, so select B
It can also be understood that there is a (a, b) point on the original function image, then there must be (B, a) points on the inverse function image, that is, to find out the points that satisfy the original odd function, then to exchange X and Y coordinates, so the answer is between A and B, and then the B is the exact answer from the condition that the original function is an odd function.