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Class 12 · Mathematics · Medium

If (f(x)=\frac{x}{x+1}), what is the range of this function?

Class 12 · Mathematics · Medium

If (f(x)=\frac{x}{x+1}), does (f(x)=1) have a real solution?

Class 12 · Mathematics · Medium

If (f:R\to R), (f(x)=x^2-4x+5), what is the range?

Class 12 · Mathematics · Medium

If (f:R\to R), (f(x)=x^2-4x+5), what is the minimum value?

Class 12 · Mathematics · Medium

If (f:R\to R), (f(x)=|x|), what is (f^{-1}({2}))?

Class 12 · Mathematics · Medium

If (f(x)=x^2) is considered from (R) to (R), why does an inverse function not exist?

Class 12 · Mathematics · Medium

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

Class 12 · Mathematics · Medium

If (f:R\to R), (f(x)=x^3-1), what is (f^{-1}(7))?

Class 12 · Mathematics · Medium

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

Class 12 · Mathematics · Medium

If (A) has (3) elements and (B) has (5) elements, how many one-one functions are there from (A) to (B)?

Class 12 · Mathematics · Medium

If (A={1,2,3}) 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={a,b,c,d}), and (f={(1,a),(2,b),(3,c)}), what type of function is (f)?

Class 12 · Mathematics · Medium

If (f(x)=|x-2|), what is the set (f^{-1}({3}))?

Class 12 · Mathematics · Medium

If (f(x)=\frac{x+3}{x^2-9}), what is the real domain?

Class 12 · Mathematics · Medium

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

Class 12 · Mathematics · Medium

If (f(x)=\sqrt{x-2}), what is the real domain?

Class 12 · Mathematics · Medium

If (f:R\to[0,\infty)), (f(x)=x^2), which statement is correct about (f)?

Class 12 · Mathematics · Medium

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

Class 12 · Mathematics · Medium

Which statement is correct about (f:R\to R), (f(x)=x^2+1)?

Class 12 · Mathematics · Medium

If (f:R\to R), (f(x)=5x-7), which statement is correct about (f)?