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Class 12 · Mathematics · Medium

If (f(x)=\frac{3x}{x+2}), what is the range of this function?

Class 12 · Mathematics · Medium

If (f(x)=\frac{3x}{x+2}), does (f(x)=3) have a real solution?

Class 12 · Mathematics · Medium

If (f:R\to R), (f(x)=x^2-8x+20), what is the range?

Class 12 · Mathematics · Medium

If (f:R\to R), (f(x)=x^2-8x+20), what is the minimum value?

Class 12 · Mathematics · Medium

If (f:R\to R), (f(x)=|x+4|), what is (f^{-1}({6}))?

Class 12 · Mathematics · Medium

If (f:R\to R), (f(x)=x^2-6x), why does an inverse function not exist?

Class 12 · Mathematics · Medium

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

Class 12 · Mathematics · Medium

If (f:R\to R), (f(x)=x^3-4), what is (f^{-1}(4))?

Class 12 · Mathematics · Medium

If (A={1,2}) and (B={a,b,c,d}), can onto functions from (A) to (B) exist?

Class 12 · Mathematics · Medium

If (A) has (3) elements and (B) has (6) elements, how many one-one functions are there from (A) to (B)?

Class 12 · Mathematics · Medium

If (A={1,2,3,4,5}) and (B={a,b}), how many onto functions are there from (A) to (B)?

Class 12 · Mathematics · Medium

If (f:A\to B), (A={1,2,3}), (B={u,v,w,z}), and (f={(1,u),(2,v),(3,w)}), what type of function is (f)?

Class 12 · Mathematics · Medium

If (f(x)=|x-5|), what is the set (f^{-1}({3}))?

Class 12 · Mathematics · Medium

If (f(x)=\frac{x+2}{x^2-4}), what is the real domain?

Class 12 · Mathematics · Medium

If (f(x)=\frac{1}{\sqrt{5-x}}), what is the real domain?

Class 12 · Mathematics · Medium

If (f(x)=\sqrt{3x-12}), what is the real domain?

Class 12 · Mathematics · Medium

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

Class 12 · Mathematics · Medium

If (f:[-1,\infty)\to[0,\infty)), (f(x)=x+1), what type of function is (f)?

Class 12 · Mathematics · Medium

Which statement is correct about (f:R\to R), (f(x)=x^2+2x+2)?

Class 12 · Mathematics · Medium

If (f:R\to R), (f(x)=9x-4), which statement is correct about (f)?