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Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3-x), choose the correct statement with reason.
Class 12 · Mathematics
→For a function (f) from (A={1,2,3}) to (B={a,b,c,d}), (f(1)=a), (f(2)=b), (f(3)=a). Choose the correct statement.
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=|x-2|), is (f) one-one?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=2x^3+1), what is the nature of (f)?
Class 12 · Mathematics
→If (f:[0,\infty)\to\mathbb{R}) and (f(x)=x^2), choose the correct statement for (f).
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=3x-5), which statement about (f) is correct?
Class 12 · Mathematics
→If \(f:\mathbb{R}\to\mathbb{R}\), \(f(x)=\begin{cases}2x+1,&x<1\x+2,&x\ge 1\end{cases}\), which statement about (f) is correct?
Class 12 · Mathematics
→If (A={1,2,3,4,5}) and (B={a,b,c,d,e,f,g}), how many one-one functions are there from (A) to (B)?
Class 12 · Mathematics
→If (f:[0,\infty)\to\mathbb{R}), (f(x)=x^3+3x), what is the one-one status of (f)?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+3x^2), which statement about (f) is correct?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=\begin{cases}x+1,&x\ge 0\x-1,&x<0\end{cases}), which statement is correct about (f)?
Class 12 · Mathematics
→If (f:\mathbb{N}\to\mathbb{N}), (f(n)=n+(-1)^n), is (f) one-one?
Class 12 · Mathematics
→If (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=n^3+n), choose the correct statement about (f).
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=\lfloor x\rfloor), is (f) one-one?
Class 12 · Mathematics
→If (f:[0,\infty)\to\mathbb{R}), (f(x)=\sqrt{x^2+1}), what is correct about (f)?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sqrt{x^2+1}), which statement about (f) is correct?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x+4) and (g:\mathbb{R}\to\mathbb{R}), (g(x)=3x-2), what type is (g\circ f)?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=2x+1) and (g:\mathbb{R}\to\mathbb{R}), (g(x)=x^2), is (g\circ f) one-one?
Class 12 · Mathematics
→If (g\circ f) is one-one, which of the following statements is always true?
Class 12 · Mathematics
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