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![Let `f(x) = 0` for x is rational and `x` if x is irrational and `g(x) = 0` if x is irrational - YouTube Let `f(x) = 0` for x is rational and `x` if x is irrational and `g(x) = 0` if x is irrational - YouTube](https://i.ytimg.com/vi/HgVDm6-Vcfs/maxresdefault.jpg)
Let `f(x) = 0` for x is rational and `x` if x is irrational and `g(x) = 0` if x is irrational - YouTube
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Fermat's Library on Twitter: "A proof that there exist two irrational numbers x,y such that xʸ is rational https://t.co/Oc1AVv7IqO" / Twitter
![Show that the function f: R→ R:f(x) = { 1, & if & x & is & rational - 1, & if & x & is & irrational . is many - one into. Find f (12) . Show that the function f: R→ R:f(x) = { 1, & if & x & is & rational - 1, & if & x & is & irrational . is many - one into. Find f (12) .](https://d1hj4to4g9ba46.cloudfront.net/questions/1644932_1705552_ans_1939f1b929c04b5c9328ed9da54f01d0.jpeg)
Show that the function f: R→ R:f(x) = { 1, & if & x & is & rational - 1, & if & x & is & irrational . is many - one into. Find f (12) .
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![If function f(x) = x, if x is rational 1 - x, if x is irrational' , then f(x) is continuous at... number of points. If function f(x) = x, if x is rational 1 - x, if x is irrational' , then f(x) is continuous at... number of points.](https://haygot.s3.amazonaws.com/questions/1956829_1257396_ans_c9996cc558664d9697f95634fbeaecf6.jpg)
If function f(x) = x, if x is rational 1 - x, if x is irrational' , then f(x) is continuous at... number of points.
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