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Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=2x-5), what is (f^{-1}(x))?
Class 12 · Mathematics
→Let (A={1,2,3}) and (B={4,5,6}). How many functions (f:A\to B) are both one-one and onto?
Class 12 · Mathematics
→If \(f:\mathbb{R}\to\mathbb{R}\) is defined by \(f(x)=\frac{x}{1+x^2}\), why is (f) not one-one?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=\frac{x}{1+|x|}), what is its range?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{Z}) is defined by (f(x)=\lfloor x\rfloor), which statement about (f) is correct?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=\lfloor x\rfloor), which statement is correct?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x+|x|), what is the range of (f)?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x+|x|), what is (f(-5))?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^5-3x), what type of function is (f)?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^4+x^2), which statement about (f) is correct?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is an even function and (f(-6)=11), what is (f(6))?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is an odd function and (f(4)=9), what is (f(-4))?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) satisfies (f(x+1)=f(x)+2) and (f(0)=3), what is the value of (f(2))?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^2+2x), what is the range of (f)?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^2), why does (f^{-1}) not exist as an ordinary function?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=2x+3) and (g:\mathbb{R}\to\mathbb{R}) by (g(x)=\frac{x-3}{2}), which statement is correct?
Class 12 · Mathematics
→If \(f:\mathbb{R}\setminus{0}\to\mathbb{R}\setminus{0}\) is defined by \(f(x)=\frac{1}{x}\), what is (f\circ f)?
Class 12 · Mathematics
→If (f:A\to B) and (g:B\to A) satisfy (f\circ g=I_B), what conclusion about (f) is definitely true?
Class 12 · Mathematics
→If (f:A\to B) and (g:B\to A) satisfy (g\circ f=I_A), what conclusion about (f) is definitely true?
Class 12 · Mathematics
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