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Class 12 · Mathematics
→If (f:[0,\infty)\to\mathbb{R}), where (f(x)=\sqrt{x}), why is (f) not onto?
Class 12 · Mathematics
→Is (f:\mathbb{R}\to[2,\infty)), where (f(x)=x^2+2), onto?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}), where (f(x)=k x^2+1), under which condition can (f) be onto?
Class 12 · Mathematics
→Let (f:\mathbb{R}\to\mathbb{R}), where (f(x)=ax+b). What is the necessary and sufficient condition for (f) to be onto?
Class 12 · Mathematics
→If (g\circ f) is onto, which statement about (f) is not always true?
Class 12 · Mathematics
→If (g\circ f:A\to C) is onto, what conclusion about (g:B\to C) is certain?
Class 12 · Mathematics
→Let (f:A\to B) be onto and (g:B\to C) be onto. What is correct about (g\circ f:A\to C)?
Class 12 · Mathematics
→If (A) has (3) elements and (B) has (2) elements, choose the number of onto functions from (A) to (B).
Class 12 · Mathematics
→If both (A) and (B) have (4) elements, how many onto functions are there from (A) to (B)?
Class 12 · Mathematics
→Let (A={1,2,3}), (B={a,b,c,d}). Is an onto function from (A) to (B) possible?
Class 12 · Mathematics
→If (f:\mathbb{N}\to{n\in\mathbb{N}:n\ge4}), where (f(n)=n+3), choose the correct statement about (f).
Class 12 · Mathematics
→Why is (f:\mathbb{N}\to\mathbb{N}), where (f(n)=n+3), not onto?
Class 12 · Mathematics
→If (f:\mathbb{Z}\to{y\in\mathbb{Z}:y\text{ is odd}}), where (f(n)=2n+1), what type is (f)?
Class 12 · Mathematics
→Is the function (f:\mathbb{Z}\to\mathbb{Z}), where (f(n)=2n+1), onto or not?
Class 12 · Mathematics
→If \(f:\mathbb{R}\to\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\), where \(f(x)=\tan^{-1}x\), what is the correct conclusion?
Class 12 · Mathematics
→Why is \(f:\mathbb{R}\to\mathbb{R}\), where \(f(x)=\tan^{-1}x\), not onto?
Class 12 · Mathematics
→If (f:[0,\pi]\to[-1,1]), where (f(x)=\cos x), which statement is correct about (f)?
Class 12 · Mathematics
→The function \(f:\left[-\frac{\pi}{2},\frac{\pi}{2}\right]\to[-1,1]\), where \(f(x)=\sin x\), is of which type?
Class 12 · Mathematics
→If (f:\mathbb{R}\to[-1,1]) where (f(x)=\sin x), what is the correct statement about (f)?
Class 12 · Mathematics
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