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Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^4+1), what is the correct statement about (f)?
Class 12 · Mathematics
→If (f:(0,\infty)\to\mathbb{R}) and (f(x)=\ln x), what is the nature of (f)?
Class 12 · Mathematics
→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
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x+\sin x), what is the suitable statement about (f)?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=|x|+x), why is (f) not one-one?
Class 12 · Mathematics
→If (f:[-2,2]\to\mathbb{R}) and (f(x)=x^2), what is the correct statement about (f)?
Class 12 · Mathematics
→If (f:(-\infty,1]\to\mathbb{R}) and (f(x)=x^2-2x), what is the correct statement about (f)?
Class 12 · Mathematics
→If (f:[1,\infty)\to\mathbb{R}) and (f(x)=x^2-2x), choose the correct statement about (f).
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2+2x+3), what is the correct statement about (f)?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=ax+b), when will (f) be one-one?
Class 12 · Mathematics
→If a function (f:A\to B) is one-one, what is the correct statement about its inverse relation?
Class 12 · Mathematics
→If (g\circ f) is one-one, which statement about (g) is correct?
Class 12 · Mathematics
→If (g\circ f) is one-one, which of the following statements is definitely true?
Class 12 · Mathematics
→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
→If (|A|=4) and (|B|=4), what is the number of one-one functions from (A) to (B)?
Class 12 · Mathematics
→If (|A|=3) and (|B|=5), how many one-one functions are there from (A) to (B)?
Class 12 · Mathematics
→If (A) has (4) elements and (B) has (3) elements, what is the correct statement about the possibility of a one-one function from (A) to (B)?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{Z}) and (f(x)=\lfloor x\rfloor), what is the correct statement about (f)?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^5+x), why is (f) one-one?
Class 12 · Mathematics
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