The population of a city in 2005 was 36,000. by 2010, the city’s population had grown to 43,800 people.

assuming that the population of the city has grown exponentially since 2005 and continues to grow at the same rate, what will be the population in 2015? give your answer to the nearest whole number.

Afunction is given: f(x)=3x+12 a. determine the inverse of this function and name it g(x) b. use composite functions to show that these functions are inverses. c. f(g(– explain: what is the domain?

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)

Find the zero function by factoring (try to show work) h(x)=-x^2-6x-9