Algebraically determine the point(s) of intersection between the following functions.
f(x) = 2x²+3
g(x) = −3x+8
2x^2 + 3 = -3x+8
2x^2 + 3x - 5 = 0
(2x+5)(x-1) = 0
Now, if the product of two numbers is zero, one or the other of the numbers must be zero. So, what do you think?