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Class 12 · Mathematics

If (f:[0,\infty)\to[0,\infty)), (f(x)=x^2), which statement is correct?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=|x|), why is it not onto?

Class 12 · Mathematics

If (f:\mathbb{R}\to[0,\infty)), (f(x)=|x|), which statement is correct about (f)?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=5), which statement is correct?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=2x-7), is (f) onto?

Class 12 · Mathematics

If (f:\mathbb{N}\to\mathbb{N}), (f(n)=n+1), why is it not onto?

Class 12 · Mathematics

If (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=n+5), choose the correct option about (f).

Class 12 · Mathematics

If (A={1,2,3}), (B={a,b}), and (f(1)=a), (f(2)=b), (f(3)=b), what type of function is (f:A\to B)?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+1), then what type of function is it?

Class 12 · Mathematics

If (f:[0,\infty)\to\mathbb{R}), (f(x)=x^2+2x), why is (f) not onto?

Class 12 · Mathematics

If (f:[0,\infty)\to[0,\infty)), (f(x)=x^2+2x), what can be a preimage of (y\ge0) to show that (f) is onto?

Class 12 · Mathematics

If (f:\mathbb{R}\to[-\frac{\pi}{2},\frac{\pi}{2}]), (f(x)=\tan^{-1}x), why is (f) not onto?

Class 12 · Mathematics

If (f:\mathbb{R}\to(-\frac{\pi}{2},\frac{\pi}{2})), (f(x)=\tan^{-1}x), what is the correct statement about (f)?

Class 12 · Mathematics

If (g\circ f:A\to C) is onto, which of the following conclusions is always true?

Class 12 · Mathematics

If (f:A\to B) is onto and (g:B\to C) is onto, what can be said about (g\circ f:A\to C)?

Class 12 · Mathematics

If (f:\mathbb{R}\to[-1,1)), (f(x)=\frac{x^2-1}{x^2+1}), what is the correct statement?

Class 12 · Mathematics

If (f:\mathbb{R}\to[-1,1]), (f(x)=\frac{x^2-1}{x^2+1}), why is (f) not onto?

Class 12 · Mathematics

If (f:\mathbb{R}\to(1,\infty)), (f(x)=e^{|x|}), why is (f) not onto?

Class 12 · Mathematics

If (f:\mathbb{R}\to[1,\infty)), (f(x)=e^{|x|}), what is the correct statement about (f)?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^6+2), why is (f) not onto?