IIT JAM Follow
February 8, 2022 12:26 am 30 pts
37. Let f.g:R >R be continuous functions 40. The range of the function whose graphs do not intersect. Then for which function below the graph lies entirely Ja)= , xE R is on one side of the X-axis (a.) (a.) [-1, 1] (b.) 8+f (b.) [-1, 1) (c.) 8-f (c.) (-1, 1] (d.) 8f (d.) None of these 38. Let f.8:R>R be functions. We can 41. Let f:R>[0, *o) be a continuous functions. Then which one of the following is NOT conclude that h(x) Sf(x) Vxe Rif we define h: R >R as TRUE? (a.) min{g (x).f (x)+ 8(x)} (a.) There exists xE R such that Sx)-(0)+s) 2 (b.) min{f (x).f(x)+ g (x)} (c.) max{s (x). f(7)+8()} (b.) There exists xE R such that (d.) max{f (x).f(x)+ 8 (x)} f)=S(-)f) 39. Let X be a non-empty set, f:X> X be a (c.) There exists xER such that function and let A, BCX. Then the identity SAnB) =f(A)nf(B) is (d.) There exists xE R such that (a.) Always holds s()=C)dn (b.) holds if f is 1-1 (c.) holds if f is onto (d.) holds if AUB= X please provide us the solutions of all the sums, sir
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• Navdeep goyal 1
check attachment 39.f is one one range of f [-1,1] bcz √x²+1≥x for all x€R