Find `f^(-1)` if it exists: `f: A->B` where `A={0,\ -1,\ -3,\ 2};` `B=` `{-9,\ -3,\ 0,\ 6}` and `f(x)=3x` .

Find f^(-1) if it exists: f: A->B where A={1,\ 3,\ 5,\ 7,\ 9}; B= {0,\ 1,\ 9,\ 25 ,\ 49 ,\ 81} and f(x)=x^2 .

Find number of roots of f(x) where f(x) = 1/(x+1)^3 -3x + sin x

If f(x)=x^3+4x^2-x , find f(A) , where A=[(0 ,1, 2 ),(2,-3 ,0),( 1,-1 ,0)] .

If f(x)=x^2-2x , find f(A), where A=[(0, 1, 2),( 4 ,5, 0 ),(0, 2 ,3)] .

If a function f: R->R be defined by f(x)={3x-2,\ x 0 Find: f(1) ,\ f(-1),\ f(0),\ f(2)dot

Given A={-1,0,2,5,6,11},B={-2,-1,0,18 ,28 ,108} and f(x)=x^2-x-2. Is f(A)=B ? Find f(A) .

Let f:DtoR , where D is the domain of f . Find the inverse of f if it exists: Let f:[0,3]to[1,13] is defined by f(x)=x^(2)+x+1 , then find f^(-1)(x) .

Let f(x)=x^2-5x+6 then find f(A) when A=[[2,0,1] , [2,1,3] , [1, -1, 0]]

Let f(x)=x^(3)+ax^(2)+bx+c be the given cubic polynomial and f(x)=0 be the corresponding cubic equation, where a, b, c in R. Now, f'(x)=3x^(2)+2ax+b Let D=4a^(2)-12b=4(a^(2)-3b) be the discriminant of the equation f'(x)=0 . If D=4(a^(2)-3b)gt0 and f(x_(1)).f(x_(2))gt0 where x_(1),x_(2) are the roots of f'(x), then

Find the anti derivative F of f defined by f(x)=4x^3-6 , where F (0) = 3