Question

61. Iff:R → R. f(x)= XX-4 XE then f(x) is 1x1x1-3 x¢Q' (A) one to one and onto (B) many to one and onto (C) one to one and into (D) many to one and into

JEE/Engineering Exams

Maths

Solution

103

4.0 (1 ratings)

G) ( f: R rightarrow R quad f(x)=left{begin{array}{l}x(x)-4, x in Q x|x|-sqrt{3}, x in thetaend{array}right. ) (B) Will be correct because ( a+x-2 ) and ( x=(3) 4 ) [ begin{array}{l} f(2)=2(21-4=0 fleft(3^{4}right)=left(3^{4}right)left(3^{2}right)-sqrt{3}=0 f(2)=f((a)) end{array} ] So many one & range of ( x|z|-4 ). will be bilong to all real number [ begin{array}{l} text { as por } n<0,-x^{2}-4 Rightarrow-infty qquad F(x)>0, x^{2}-4 Rightarrow-4 leq x^{2}-4 leq infty end{array} ] So mto function. Cive yours feed bask ( 930610993 )