Answer to Question #129110 in Discrete Mathematics for Hazha

Question #129110
F(x)=x is one to one function true or false
1
Expert's answer
2020-08-10T18:27:39-0400

True. The function F(x)=xF(x)=x is one to one function.

Let x1x2,x1,x2Rx_1\not= x_2, x_1,x_2\in \Bbb{R} Then


y1=F(x1)=x1x2=F(x2)=y2,x1,x2Ry_1=F(x_1)=x_1\not=x_2=F(x_2)=y_2, x_1, x_2\in\Bbb{R}

Therefore the function F(x)=xF(x)=x is one to one function.


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