Mathematics
Functions
Practice questions
If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=|x-2|), at which (x) will (f) attain its minimum value?Which is the correct classification of the function \(f:\mathbb{R}\to\mathbb{R}\), where \(f(x)=x^3-x\)?If (f(x)=2x+3) and ((f\circ f)(x)=19), what is the value of (x)?If (f(x)=2x+3) and ((f\circ f)(x)=17), what is the value of (x)?If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\sin x), why is (f) not onto?If (f:A\to A), where (A={1,2,3,4}), is a permutation function, how many such functions exist?If (f(x)=\sqrt{9-x^2}), what is the real domain?If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=2^x), which statement about (f) is correct?If (f(x)=\ln x), what is the real domain?If (f:A\to B), (A={1,2,3}), (B={a,b,c}), and (f(1)=a), (f(2)=b), (f(3)=b), what type of function is (f)?If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3-3x), why is (f) not one-one?If (f:\mathbb{R}\setminus{1}\to\mathbb{R}\setminus{2}) is defined by (f(x)=\frac{2x+3}{x-1}), what is (f^{-1}(x))?If (f:A\to B) and (g:B\to C) are functions and (g\circ f) is one-one, which conclusion is definitely true?If \(f:\mathbb{R}-\left{-\frac{1}{2}\right}\to\mathbb{R}\) is defined by \(f(x)=\frac{3x-4}{2x+1}\), which real value will not occur in the range of (f)?If (A={1,2,3,4}) and (B={a,b,c}), how many onto functions are there from (A) to (B)?If (f:[3,\infty)\to[1,\infty)) is defined by (f(x)=x^2-6x+10), what is (f^{-1}(x))?If (f:A\to B) and (g:B\to C) are both invertible functions, then ((g\circ f)^{-1}) is equal to which expression?If (f:\mathbb{N}\to\mathbb{N}) is defined by (f(n)=n+1), where (\mathbb{N}={1,2,3,\ldots}), what type of function is (f)?If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=x^3-3x+1), which statement about (f) being one-one is correct?If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^3+x+5), which statement about (f) is correct?