Problem-42

Problem-42

Determine whether each of these functions is a bijection from R to R.

a) f(x)= x^{7}+1

b) f(x)=−5x+6

c) f(x)=− 6x^{2}+7

d) f(x)=x\frac{1}{x}+4

 

Solution

 

a) f(x)= x^{7}+1

 

f    is  a bijection from  R to R.

 

 b) f(x)=−5x+6

 

f    is a bijection from  R to R.

 

c) f(x)=− 6x^{2}+7

 

f    is not a bijection from R to R.

 

d) f(x)=x\frac{1}{x}+4

 

 f    is not a bijection from R to R

Leave a Reply