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Class 12 · Mathematics
→If (f:(0,\infty)\to\mathbb{R}) is defined by (f(x)=\ln x), what type of function is (f)?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\ln(1+x^2)), what is the range of (f)?
Class 12 · Mathematics
→If (f:\mathbb{N}\to\mathbb{N}) is given by (f(n)=n^2), which statement about (f) is correct?
Class 12 · Mathematics
→If (f:\mathbb{Z}\to\mathbb{Z}) is defined by (f(n)=n^3), which statement about (f) is correct?
Class 12 · Mathematics
→If (f:\mathbb{Z}\to\mathbb{Z}) is given by (f(n)=2n+1), which statement about (f) is correct?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{Z}) is given by (f(x)=\lfloor x\rfloor), which statement about (f) is correct?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\lfloor x\rfloor+{x}), where ({x}) is the fractional part, what is (f(x)) equal to?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is (f(x)=x^2+1) and (g:[1,\infty)\to\mathbb{R}) is (g(x)=\sqrt{x-1}), which statement is correct?
Class 12 · Mathematics
→If (f:\mathbb{R}\setminus{1}\to\mathbb{R}) is given by (f(x)=\frac{x^2-1}{x-1}), what is the range of (f)?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\frac{x^2-1}{x-1}), on which domain does it behave like (x+1)?
Class 12 · Mathematics
→If (f:A\to B) and (g:B\to C), and (g\circ f) is onto, which conclusion is definitely true?
Class 12 · Mathematics
→If (f:A\to B) and (g:B\to C), and (g\circ f) is one-one, which conclusion is definitely true?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=x|x|), what is (f^{-1}(4))?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=x|x|), which statement about (f) is correct?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\min{x^2,4}), what is the range of (f)?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\max{x,1-x}), what is the minimum value of (f)?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) satisfies (f(x+y)=f(x)+f(y)) and (f(1)=3), what is (f(5)), assuming (f) is linear?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) satisfies (f(x+y)=f(x)f(y)), (f(0)=1), and (f(x)>0), what is (f(-x))?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (g:\mathbb{R}\to\mathbb{R}) are (f(x)=x^2), (g(x)=x+1), what is ((f\circ g)(x)-(g\circ f)(x))?
Class 12 · Mathematics
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