SOLUTION: Define g: R---> Z by the rule g(x)=9x+5, Vx E R Is g(x) bijective function? Prove or disprove.

Algebra ->  Functions -> SOLUTION: Define g: R---> Z by the rule g(x)=9x+5, Vx E R Is g(x) bijective function? Prove or disprove.       Log On


   

Question 607189: Define g: R---> Z by the rule
g(x)=9x+5, Vx E R

Is g(x) bijective function? Prove or disprove.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: to prove that the function is bijective, you need to show that it's both injective (one-to-one) and surjective (onto).