Mathematics
Functions
Practice questions
If (f:R\to R), (f(x)=x^3+5), what is (f^{-1}(x))?If (f:[0,\infty)\to[1,\infty)), (f(x)=x^2+1), what is (f^{-1}(10))?If (f:R\to R), (f(x)=x^2+1), what is (f^{-1}({5}))?If (f(x)=x^2-5x+6), which of (f(2), f(3), f(4)) are zero?If (f:R\to R), (f(x)=|x-4|+1), what is the range?If (f:R\to R), (f(x)=|x-4|+1), why is it not onto?If (f:A\to B) is bijective and (B) has (8) elements, how many elements will (A) have?If (f:A\to B) and (g:B\to A) satisfy (f\circ g=I_B) and (g\circ f=I_A), what is correct about (f)?If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^2+2x+3), which statement about the range of (f) is correct?If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=2x-5), what is (f^{-1}(x))?If (f:A\to B), (A={1,2,3}), and (B={a,b}), how many functions are possible from (A) to (B)?If (f:\mathbb{R}\to\mathbb{R}) and (g:\mathbb{R}\to\mathbb{R}) are given by (f(x)=x+3), (g(x)=x^2), what is ((g\circ f)(x))?If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^3+x), which statement about (f) is correct?If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=x^2), why is (f) not one-one?If (f:\mathbb{R}\to[0,\infty)) is defined by (f(x)=x^2), which statement about (f) is correct?If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=x^2+1), why is (f) not onto?If (f:\mathbb{R}\setminus{1}\to\mathbb{R}\setminus{2}) is defined by (f(x)=\frac{2x+3}{x-1}), which value can never occur as (f(x))?If (f:\mathbb{R}\to\mathbb{R}) and (g:\mathbb{R}\to\mathbb{R}) are given by (f(x)=3x+1), (g(x)=x-4), what is the value of ((f\circ g)(2))?If (f:A\to B) is a one-one function and (|A|=5), (|B|=4), which statement is correct?If (A) has (4) elements and (B) has (4) elements, how many functions from (A) to (B) are both one-one and onto?