Mathematics
Functions
Practice questions
If (f(x)=\frac{3x+2}{x-1}), what is the domain of (f)?If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=5), which statement about (f) is correct?If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^3-1), what is the value of (f^{-1}(7))?If (f(x)=\sqrt{x-3}), what is the real domain of (f)?If (A) has (m) elements and (B) has (n) elements, what is the total number of functions from (A) to (B)?If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=ax+b) is one-one, which condition on (a) is necessary?If (f(x)=\frac{1}{x}) and (g(x)=x+1), what is the domain of ((f\circ g)(x))?If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2-2x), what is the value of (f(1+h)-f(1))?If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^5+x^3+x), which statement about (f) is correct?If (f(x)=\frac{x+2}{x-2}), what is (f^{-1}(x))?If (f:\mathbb{R}\to[0,\infty)) and (f(x)=x^2), which statement about (f) is correct?If (f:[0,\infty)\to[0,\infty)) and (f(x)=x^2), which statement about (f) is correct?If (f(x)=x+1), (g(x)=2x), and (h(x)=x^2), what is ((h\circ g\circ f)(x))?If (f:A\to B), (A={1,2}), and (B={3,4,5}), how many onto functions exist from (A) to (B)?If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2+2x+2), what is the range of (f)?If (f(x)=\frac{2x-3}{x+4}), why is (x=-4) excluded from the domain?If (f(x)=3x-1) and (g(x)=\frac{x+1}{3}), what kind of function is (g\circ f)?If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^4+1), why is (f) not onto?If (f:A\to B) is both one-one and onto, which statement about (f^{-1}) is correct?If (f(x)=x^2) and (g(x)=x+2), which statement about ((f\circ g)(x)) and ((g\circ f)(x)) is correct?