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Class 12 · Mathematics · Hard
→If (f:\mathbb{Z}\to\mathbb{Z}) and (f(n)=2n+1), what is the correct statement about (f)?
Class 12 · Mathematics · Hard
→If (f:\mathbb{Z}\to\mathbb{Z}) and (f(n)=n^2), why is (f) not one-one?
Class 12 · Mathematics · Hard
→If (f:\mathbb{N}\to\mathbb{N}) and (f(n)=n+2), what is the correct statement about (f)?
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=(k-2)x+5), when will (f) be one-one?
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=7), what is the correct statement about (f)?
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=3-2x), what type of function is (f)?
Class 12 · Mathematics · Hard
→If (f={(1,4),(2,5),(3,6)}), where (f:{1,2,3}\to{4,5,6,7}), what is the correct statement about (f)?
Class 12 · Mathematics · Hard
→The function (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x) if (x<0) and (f(x)=x+1) if (x\ge0). Choose the correct statement.
Class 12 · Mathematics · Hard
→If (f:[0,\infty)\to[1,\infty)) and (f(x)=\sqrt{x+1}), what is the correct statement about (f)?
Class 12 · Mathematics · Hard
→If (f:(0,\infty)\to\mathbb{R}) and (f(x)=\ln x), what is the nature of (f)?
Class 12 · Mathematics · Hard
→If \(f:\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\to\mathbb{R}\) and \(f(x)=\tan x\), choose the correct statement about (f).
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=|x|+x), why is (f) not one-one?
Class 12 · Mathematics · Hard
→If (f:[-2,2]\to\mathbb{R}) and (f(x)=x^2), what is the correct statement about (f)?
Class 12 · Mathematics · Hard
→If (f:[1,\infty)\to\mathbb{R}) and (f(x)=x^2-2x), choose the correct statement about (f).
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2+2x+3), what is the correct statement about (f)?
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=ax+b), when will (f) be one-one?
Class 12 · Mathematics · Hard
→If a function (f:A\to B) is one-one, what is the correct statement about its inverse relation?
Class 12 · Mathematics · Hard
→If (g\circ f) is one-one, which of the following statements is definitely true?
Class 12 · Mathematics · Hard
→If (f:A\to B) and (g:B\to C) are both one-one, what is the correct statement about (g\circ f)?
Class 12 · Mathematics · Hard
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