MATH 163 Fall: 2023 3. Find the domain of the following functions Page 3 of 4 Table 1: Algebraic Functions Domains Functions P(x) = 3x3 -3x2 - 5x - 9 R(x) = 2x-3 S(x) = V3x - 6 2x - 5 if x 1 4. Oil Production in Mexico The following table shows oil production by Pemex, Mexico's national oil company, for 2001- 2006 (t = 1 represents 2001): t ( Year since 2000) 1 2 3 4 5 6 P (million gallons/ day) 3.1 5 3.2 3.4 3.4 3.4 3.3 1. ( 3 marks) Evaluate P(3), P(4), P(6). 2. ( 3 marks) Estimate P(1.7), by using ilnear nterpolation formula. Linear Interpolation formula;: follow Let (t1, P(ti)) and (t2, P(t2)) two points and with t1