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Class 12 · Mathematics

Which of the following is a function from (A={1,2}) to (B={3,4,5})?

Class 12 · Mathematics

On the set (A={1,2,3}), (f={(1,2),(2,3),(3,1)}) is given. What type of function is it?

Class 12 · Mathematics

If (f:A\to B) and (g:B\to C) are both onto, what is (g\circ f)?

Class 12 · Mathematics

If (f:A\to B) and (g:B\to C) are both one-one, what is (g\circ f)?

Class 12 · Mathematics

If (f(x)=x+2) and (g(x)=x^2), which statement about (f\circ g) and (g\circ f) is correct?

Class 12 · Mathematics

If (f(x)=x^2+1) and (g(x)=2x-3), what is ((g\circ f)(x))?

Class 12 · Mathematics

If (f(x)=\frac{3x-1}{2x+5}), what is (f^{-1}(x))?

Class 12 · Mathematics

If (f:\mathbb{R}-{1}\to\mathbb{R}-{2}) and (f(x)=\frac{2x+3}{x-1}), which statement is correct?

Class 12 · Mathematics

If (f:[0,\infty)\to[0,\infty)) and (f(x)=x^2), what type of function is it?

Class 12 · Mathematics

If \(f:(0,\infty)\to\mathbb{R}\) and \(f(x)=x+\frac{1}{x}\), what is the correct conclusion?

Class 12 · Mathematics

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

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=ax+b), when is (f) invertible?

Class 12 · Mathematics

If (|A|=4), how many bijective functions are there from (A) to (A)?

Class 12 · Mathematics

If (|A|=3) and (|B|=2), how many onto functions are there from (A) to (B)?

Class 12 · Mathematics

If (|A|=3) and (|B|=5), what is the total number of functions from (A) to (B)?

Class 12 · Mathematics

If (A) has (4) elements and (B) has (6) elements, how many one-one functions are there from (A) to (B)?

Class 12 · Mathematics

If (g\circ f) is onto, which conclusion is always true?

Class 12 · Mathematics

If (g\circ f) is one-one, which conclusion is always correct?

Class 12 · Mathematics

If (f:\mathbb{R}-{-3}\to\mathbb{R}) and (f(x)=\frac{x-2}{x+3}), which value is excluded from the range?

Class 12 · Mathematics

If (f(x)=3x+4), what is (f^{-1}(x))?