Mathematics
Functions
Practice questions
If (f:\mathbb{R}\to(-1,1)) and (f(x)=\frac{x}{1+|x|}), what is the correct conclusion about the function?If (f:\mathbb{N}\to\mathbb{N}) and (f(n)=n+1), which statement is correct?If (f:\mathbb{Z}\to\mathbb{Z}) and (f(n)=2n+1), choose the correct option.If (f:\mathbb{R}\to(0,\infty)) and (f(x)=e^x), what type of function is it?If (f(x)=2x-3) and (g(x)=x^2+1), what is ((g\circ f)(x))?If (f(x)=3x+4), what is (f^{-1}(x))?If (f:\mathbb{R}-{-3}\to\mathbb{R}) and (f(x)=\frac{x-2}{x+3}), which value is excluded from the range?If (g\circ f) is one-one, which conclusion is always correct?If (g\circ f) is onto, which conclusion is always true?If (A) has (4) elements and (B) has (6) elements, how many one-one functions are there from (A) to (B)?If (|A|=3) and (|B|=5), what is the total number of functions from (A) to (B)?If (|A|=3) and (|B|=2), how many onto functions are there from (A) to (B)?If (|A|=4), how many bijective functions are there from (A) to (A)?If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=ax+b), when is (f) invertible?If (f:\mathbb{R}\to[0,\infty)) and (f(x)=|x|), which statement is correct?If \(f:(0,\infty)\to\mathbb{R}\) and \(f(x)=x+\frac{1}{x}\), what is the correct conclusion?If (f:[0,\infty)\to[0,\infty)) and (f(x)=x^2), what type of function is it?If (f:\mathbb{R}-{1}\to\mathbb{R}-{2}) and (f(x)=\frac{2x+3}{x-1}), which statement is correct?If (f(x)=\frac{3x-1}{2x+5}), what is (f^{-1}(x))?If (f(x)=x^2+1) and (g(x)=2x-3), what is ((g\circ f)(x))?