nds for if x is rational ſo, if x is rational 2. 713) 10. if x is irrational E x . if x is irrational Then, f- gis (2005, 1M) (a) one-one and into (b) neither one-one nor onto (1991)

Let f(x)=[x^(2) if x is irrational,1 if x is rational then

f(x)={(x", if x is rational"),(0", if x is irrational"):}, g(x)={(0", if x is rational"),(x", if x is irrational"):} Then, f-g is (A) one-one and onto (B) one-one but nor onto (C) onto but not one-one (D) neither one-one nor onto

f(x)={(x", if x is rational"),(0", if x is irrational"):}, g(x)={(0", if x is rational"),(x", if x is irrational"):} Then, (f-g) is (A) one-one and onto (B) one-one but nor onto (C) onto but not one-one (D) neither one-one nor onto

If f(x)={x, when x is rational and 0, when x is irrational g(x)={0, when x is rational and x, when x is irrational then (f-g) is A. one-one and onto B. neither one-one nor onto C. many one and onto D one-one and into

If f(x)={x, when x is rational and 0, when x is irrational g(x)={0, when x is rational and x, when x is irrational then (f-g) is A. one-one and onto B. neither one-one nor onto C. many one and onto D one-one and into

f(x)={(x", if x is rational"),(0", if x is irrational"):}, g(x)={(0", if x is rational"),(x", if x is irrational"):} Then, f-g is

If the functions f(x)a n dg(x) are defined on R rarr R such that f(x)={(0, x in rational) (x ,x in irrational) and g(x)={(O, x in irrational x), (x in rational) then (f-g)(x)i s (a)one-one and onto (b)neither one-one nor onto (c)one-one but not onto (d)onto but not one-one

If f(x)={x^(2) if x is rational and 0, if x is irrational }, then

f(x)=1 for x is rational -1 for x is irrational,f is continuous on

If the functions f(x) and g(x) are defined on R rarr R such that f(x)= {(0,"x" in " rational"),(x, x in " irrational"):} and g(x)= {(0,"x" in " irrational"),(x, x in " rational"):} then (f - g) (x) is a)one - one and onto b)neither one - one nor onto c)one - one but not onto d)onto but not one - one