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Class 12 · Mathematics

What is the correct statement for (f:[0,\infty)\to\mathbb{R}), (f(x)=x^6+1)?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^6+1), which option is correct?

Class 12 · Mathematics

Choose the correct statement for (f:(1,\infty)\to\mathbb{R}), (f(x)=\frac{x+2}{x-1}).

Class 12 · Mathematics

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

Class 12 · Mathematics

If (A={1,2,3,4}) and (f:A\to A) has (f(1)=3), (f(2)=3), (f(3)=4), (f(4)=1), what is correct about (f)?

Class 12 · Mathematics

On (A={1,2,3,4}), (f:A\to A) is defined by (f(1)=2), (f(2)=4), (f(3)=1), (f(4)=3). Which statement is correct?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=\min{x,1}), why is (f) not one-one?

Class 12 · Mathematics

What is the correct statement about (f:\mathbb{R}\to\mathbb{R}), (f(x)=\max{x,0})?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x+\cos x), what is the correct conclusion?

Class 12 · Mathematics

Choose the correct option for (f:\mathbb{R}\to\mathbb{R}), (f(x)=x-\cos x).

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+\sin x), which statement is correct about (f)?

Class 12 · Mathematics

What is the correct conclusion for (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+x\cos^2 x)?

Class 12 · Mathematics

If (A) and (B) are finite sets, (|A|=|B|=7), and (f:A\to B) is one-one, which conclusion about (f) is correct?

Class 12 · Mathematics

Among one-one functions from (A={1,2,3,4,5}) to (A), how many functions send (1) to (1)?

Class 12 · Mathematics

If (f:\mathbb{R}\setminus{0}\to\mathbb{R}), (f(x)=\ln(x^2)), why is (f) not one-one?

Class 12 · Mathematics

What is correct about the one-one nature of (f:(0,\infty)\to\mathbb{R}), (f(x)=\ln(x^2))?

Class 12 · Mathematics

If (f:\mathbb{R}\to(0,\infty)), (f(x)=e^{x^2}), why is (f) not one-one?

Class 12 · Mathematics

What is the correct statement for (f:\mathbb{R}\to\mathbb{R}), (f(x)=e^{2x+1})?

Class 12 · Mathematics

If (f:A\to B) is one-one and (g:B\to C) is not one-one, which statement about (g\circ f) is not necessarily true?

Class 12 · Mathematics

If (f:A\to B) and (g:B\to C), and (g\circ f) is one-one, which conclusion is always correct?