Question

Iff: N N defined by f(x) = 2x - 1 then the function is.
a) One - One
b) Constant
c) Bijection
d) Onto
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Answer 1

Answer:

hi my name is Gokul and answers option C ok thank you bye bye bye bye

Answer 2

Answer:

(b) bijection

Step-by-step explanation:

f: N-----N defined by

f(x)= 2x-1

f is one - one

for every x1,x2

f(x1)= f(x2)

2(x1) - 1 = 2(x2) - 1

2(x1) = 2(x2)

x1 = x2

therefore function f is one - one

for onto

let for every

. y belongs to N

y= 2x-1

y+1= 2x

(y+1)/2 = x

therefore for every y belongs to N(natural number) there exist a unique x belongs to N

therefore, f is onto

now f is one-one and onto therefore f is bijection