If the function `f(t)` is continuous and given by `f(t) = {(at^2+3;, t > -5), (bt+2;, t <= -5):}` then which is/are correct

The function f (t) = tan t -t :

Check the continuity of the function f given by f(x) = 2x + 3 a t x = 1 .

Check the continuity of the function given by f(x) = 3x -5 t at 5 =1

Examine the function f(t) given by f(t)={(cost)/(pi//2-t);\ \ \ t!=pi//2;\ 1\ \ \at \ \ \ \ \ \ \ \ \ t=pi//2 for continuity at t=pi//2 .

The domain of the funciton f(x) given by 3^(x) + 3^(f) = "min" (2t^(3) - 15t^(2) + 36t - 25, 2 + |sin t| , 2 le t le 4) is

The domain of the funciton f(x) given by 3^(x) + 3^(f) = "min" (2t^(3) - 15t^(2) + 36t - 25, 2 + |sin t| , 2 le t le 4) is

The domain of the funciton f(x) given by 3^(x) + 3^(f) = "min" (2t^(3) - 15t^(2) + 36+ - 25, 2 + |sin t| , 2 le t le 4) is

The domain of the funciton f(x) given by 3^(x) + 3^(f) = "min" (2t^(3) - 15t^(2) + 36+ - 25, 2 + |sin t| , 2 le t le 4) is

Examine the function f(t) given by f(t)={(cos t)/(pi/2-t);quad t!=pi/21;quad t=pi/2 for continuity at t=pi/2