Let 𝑓: ℕ ⟶ ℕ by defined by 𝑓(𝑥) - 2𝑥 for all 𝑥 ∈ ℕ where ℕ is the set of natural numbers. Showthat 𝑓 is one - one but not onto function.
Question
Solution 1
Sure, let's break this down:
One-to-One (Injective) Function: A function is said to be one-to-one (or injective), if the pre-image of every element in the range is unique. In other words, if different elements in the domain have different images in the co-domain.
To prove that 𝑓 is one-t Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study pro
t Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to sol
Similar Questions
Let 𝑓: ℕ ⟶ ℕ by defined by 𝑓(𝑥) - 2𝑥 for all 𝑥 ∈ ℕ where ℕ is the set of natural numbers. Showthat 𝑓 is one - one but not onto function.
The function 𝑓f is defined by 𝑓(𝑥)=2𝑥+147f(x)= 72x+14 , and 𝑓(𝑎)=6f(a)=6, where 𝑎a is a constant. What is the value of 𝑎a?
The piecewise-function 𝑓(𝑥) has opposite expressions. 𝑓(𝑥)={2𝑥−1,𝑥<00,𝑥=0−2𝑥+1,𝑥>0Which is the graph of 𝑓(𝑥)
Let f be a function such that 𝑓(−𝑥) = −𝑓(𝑥) for all x. If ∫02𝑓(𝑥)𝑑𝑥=5, then ∫−22(𝑓(𝑥)+6)𝑑𝑥=Responses661616242434
Let R be a relation on the set N of natural numbers defined by nRm Û n is a factor of m (i.e., n|m). Then R is