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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?

Class 12 · Mathematics · Expert

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

Class 12 · Mathematics · Expert

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

Class 12 · Mathematics · Expert

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

Class 12 · Mathematics · Expert

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

Class 12 · Mathematics · Expert

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

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?

Class 12 · Mathematics · Expert

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

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?

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?

Class 12 · Mathematics · Expert

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

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)?

Class 12 · Mathematics · Expert

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

Class 12 · Mathematics · Expert

If (f(x)=\frac{2x+3}{x-1}), then for (x\ne1), what is (f^{-1}(x))?

Class 12 · Mathematics · Expert

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=\frac{x}{1+|x|}), what is the range of (f)?

Class 12 · Mathematics · Expert

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

Class 12 · Mathematics · Expert

If (f:A\to B) is one-one and (A) has (6) elements, how many elements will (f(A)) have?

Class 12 · Mathematics · Expert

If (f:A\to B) is onto and (B) has (5) elements, how many elements will (f(A)) have?

Class 12 · Mathematics · Expert

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-3x), which is a correct proof that it is not one-one?

Class 12 · Mathematics · Expert

If (f(x)=|x|) and (g(x)=x-1), what is ((f\circ g)(x))?

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