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Class 12 · Mathematics · Expert

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

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Class 12 · Mathematics · Expert

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

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Class 12 · Mathematics · Expert

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

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Class 12 · Mathematics · Expert

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

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Class 12 · Mathematics · Expert

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

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Class 12 · Mathematics · Expert

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

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Class 12 · Mathematics · Expert

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

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Class 12 · Mathematics · Expert

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

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Class 12 · Mathematics · Expert

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

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Class 12 · Mathematics · Expert

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

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Class 12 · Mathematics · Expert

If (f:\mathbb{R}\to(0,\infty)) and (f(x)=e^x), what type of function is it?

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Class 12 · Mathematics · Expert

If (f:\mathbb{Z}\to\mathbb{Z}) and (f(n)=2n+1), choose the correct option.

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Class 12 · Mathematics · Expert

If (f:\mathbb{N}\to\mathbb{N}) and (f(n)=n+1), which statement is correct?

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Class 12 · Mathematics · Expert

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

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Class 12 · Mathematics · Expert

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

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Class 12 · Mathematics · Expert

If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3+x), what is the most accurate type of the function?

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Class 12 · Mathematics · Expert

Let \(f:A\to B\) be a function. Which property is necessary and sufficient for \(f^{-1}:B\to A\) to also be a function?

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Class 12 · Mathematics · Expert

Which statement is correct about (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-6x^2+12x+1)?

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Class 12 · Mathematics · Expert

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=\begin{cases}x+1,&x\ge0\x-1,&x<0\end{cases}), which statement is correct about (f)?

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Class 12 · Mathematics · Expert

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^5+x^3+x), what type is (f)?

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