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Class 12 · Mathematics · Hard
→If (f:(0,\infty)\to\mathbb{R}), (f(x)=\ln x), which statement is correct?
Class 12 · Mathematics · Hard
→Choose the correct option for (f:[1,\infty)\to[0,\infty)), (f(x)=x^2-1).
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^6+1), which statement is correct?
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to(-\infty,4]), (f(x)=4-x^2), what is the correct statement about the function?
Class 12 · Mathematics · Hard
→For (f:\mathbb{R}\to[-3,\infty)), (f(x)=x^2-3), which option is correct?
Class 12 · Mathematics · Hard
→If (f:[0,\infty)\to[1,\infty)), (f(x)=x^3+1), why is it onto?
Class 12 · Mathematics · Hard
→Choose the correct statement for (f:[0,\infty)\to\mathbb{R}), (f(x)=x^3+1).
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+1), what is (x) for any (y\in\mathbb{R}) such that (f(x)=y)?
Class 12 · Mathematics · Hard
→If (g:B\to C) and (f:A\to B) are both onto, what can be said about (g\circ f:A\to C)?
Class 12 · Mathematics · Hard
→If (f:A\to B) is onto and (A), (B) are finite sets, which relation is always true?
Class 12 · Mathematics · Hard
→A function (f:{1,2,3,4}\to{a,b,c}) is given by (f(1)=a), (f(2)=b), (f(3)=c), (f(4)=a). Choose the correct statement.
Class 12 · Mathematics · Hard
→A function (f:{1,2,3}\to{p,q,r}) is given by (f(1)=p), (f(2)=q), (f(3)=p). Is it onto or not?
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=5), what is the correct statement about being onto?
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=ax+b) where (a\ne0), what type of function is it?
Class 12 · Mathematics · Hard
→For (f:[-1,1]\to[-1,1]), (f(x)=x^2), which statement is correct?
Class 12 · Mathematics · Hard
→Choose the correct statement about (f:[-1,1]\to[0,1]), (f(x)=x^2).
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to[0,1]), (f(x)=\frac{1}{1+x^2}), what is the onto status?
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to(0,1]), (f(x)=\frac{1}{1+x^2}), choose the correct option.
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\setminus{0}\to\mathbb{R}), (f(x)=\frac{1}{x}), why is it not onto?
Class 12 · Mathematics · Hard
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