The population of Nilam doubles in size every 6 yr. In 1991, its population was 15,000 a) Find an exponential function of the form P(t) Pon that models Nilam's population after t years. b) Find the equivalent exponential

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

(f/g)(x) = (2x+1)/(x^2 - 8x)

the domain is the set of all x in the real numbers such that denominator is not 0:

x^2 - 8x ≠ 0 ⇔ x(x-8) ≠ 0 ⇒ x ≠ 0, 8

so the domain is {x ∈ r | x ≠ 0 and x ≠ 8}