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Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=\sin x), why is (f) not onto?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^3+x), what is the correct reason for (f) being one-one?
Class 12 · Mathematics
→If (A) has (5) elements and (B) has (3) elements, how many one-one functions are possible from (A) to (B)?
Class 12 · Mathematics
→If (A) has (3) elements and (B) has (5) elements, how many one-one functions are possible from (A) to (B)?
Class 12 · Mathematics
→If (A) has (4) elements and (B) has (4) elements, how many one-one and onto functions are possible from (A) to (B)?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=5), what type of function is (f)?
Class 12 · Mathematics
→If (f:A\to B) and (g:B\to C) are both onto functions, what can be said about (g\circ f)?
Class 12 · Mathematics
→If (f:A\to B) and (g:B\to C) are both one-one functions, which statement about (g\circ f) is correct?
Class 12 · Mathematics
→If (f:\mathbb{R}\setminus{3}\to\mathbb{R}\setminus{2}) is defined by (f(x)=\frac{2x+1}{x-3}), which statement about (f) is correct?
Class 12 · Mathematics
→If (f(x)=\frac{2x+1}{x-3}), which value must be excluded from the domain of (f)?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^3), what is (f^{-1}(x))?
Class 12 · Mathematics
→If (f:\mathbb{R}\to[0,\infty)) is defined by (f(x)=x^2), what type of function is it?
Class 12 · Mathematics
→If (f:[0,\infty)\to[0,\infty)) is defined by (f(x)=x^2), which statement is correct for (f)?
Class 12 · Mathematics
→If (f:\mathbb{N}\to\mathbb{N}) is defined by (f(n)=n+2), why is (f) not onto?
Class 12 · Mathematics
→If (f:\mathbb{Z}\to\mathbb{Z}) is defined by (f(n)=n+2), what type of function is (f)?
Class 12 · Mathematics
→If (f:A\to B) is an onto function and (A) has (7) elements while (B) has (5) elements, which statement is definitely true?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=\frac{x-2}{3}), what is (f^{-1}(x))?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (g:\mathbb{R}\to\mathbb{R}) are given by (f(x)=3x+1) and (g(x)=x^2), what is ((g\circ f)(x))?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^2+1), why is this function not onto?
Class 12 · Mathematics
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