`f(x) = 3x^2 +x -1 =0`

Let f : R rarr given by f(x) = 3x^(2) + 5x + 1 . Find f(0), f(1), f(2).

Let f : R rarr given by f(x) = 3x^(2) + 5x + 1 . Find f(0), f(1), f(2).

If f(x) = x^3 + x -2 , find (f^(-1))' (0)

Show that the function f(x) = {{:(x^2 + 3 , "if" x != 0),(1,"if" x = 0):} is not continous at x = 0 .

Let alpha,beta and gamma be the roots of equation f(x)=0 , where f(x)=x^3+x^2-5x-1=0 . then the value of |[alpha]+[beta]+[gamma]|, where [.] denotes the integer function, is equal to

Let alpha,beta and gamma be the roots of equation f(x)=0 , where f(x)=x^3+x^2-5x-1=0 . then the value of |[alpha]+[beta]+[gamma]|, where [.] denotes the integer function, is equal to

Let the function f(x) be defined as follows:f(x)= x^3 +x^2 −10x , −1≤x<0 cos x, 0≤x< π/2 ​ 1+sinx , π/2 ​≤x≤π ​ , then which of the following statement(s) is/are correct

Examine the continuity of the function f(x)={3x-2,\ \ \ xlt=0x+1,\ \ \ x >0 at x=0 . Also sketch the graph of this function.