Question

can someone explain for me what to do here i am confused.

Answer 1

irrational solutions would be like the square root of 2 or something like it
rational solutions would be like 5 or 2 , etc.

Answer 2

f(x) = x^2 +6x -16
= (x-2)(x+8)
so x = 2 or x = -8
so that means that this equation has 2 real rational solutions,
meaning that g(x) must be the equation having 2 real irrational solutions