hi , may u please solve both parts of this following question attached .

1. (20 pts) Consider the function defined by, x2 + 3x + a when x 1 ) Find the values of the parameters a and b E R such that the function is differentiable for any r E R. State clearly the conditions you use. (12 pts) ) Does the function f(x) = x2 + 3x + a have an inverse for any x E R (you are not asked to find the inverse)? Restrict its domain so that it has an inverse function. Find the derivative . dx . (8 pts)